Calcul
Limites, dérivées, optimisation et comportement des fonctions.
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analogías unlimited attempts left due october 29th 11:59 pm completa ca…
1. negar 2. perder 3. importar 4. incapaz 5. empresa 6. cargo
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graph of f the graph of the function f, consisting of two line segments…
A. - 4
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3. a. a very large tank contains 1000 l of pure water, and brine water …
A. \(C(t)=\frac{150t}{1000 + 3t}\) B. \(\lim_{t ightarrow\infty}C(t) = 50\). This means that as \(t\) (time) gets very large, the concentration of salt in the tank approaches the …
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the function h is given by $h(x)=x^{5}+3x - 2$ and $h(1)=2$. if $h^{-1}…
B. \(\frac{1}{8}\)
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12. classify the following statement as true or false. explain. if ( f(…
False.
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if $x^{2}+xy = 10$, then when $x = 2$, $\frac{dy}{dx}=$ a $-\frac{7}{2}…
A. \(-\frac{7}{2}\)
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11. find $$lim _ { \theta ightarrow 0 } \frac { 1 - cos \theta } { sin …
\(0\)
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if ( f(x)=sin(e^{-x}) ), then ( f(x)= ) a ( -cos(e^{-x}) ) b ( cos(e^{-…
E. \(-e^{-x}\cos(e^{-x})\)
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10. given that the function $f(x)=\\begin{cases}3x + 2, & x lt k \\\\ 2…
\( k=-5 \)
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if ( f(x)=e^{2x}(x^{3}+1) ), then ( f(2)= ) a ( 6e^{4} ) b ( 21e^{4} ) …
D. \(30e^{4}\)
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if ( y=cos x-ln (2 x) ), then ( \frac{d^{2} y}{d x^{2}}= ) ( sin x-\fra…
C. \(\sin x-\frac{1}{x^{2}}\)
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10. which process describes repeating a function or operation multiple …
A. Iteration
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what is the slope of the line tangent to the graph of $y = \\frac{e^{-x…
B. \(-\frac{3}{4e}\)
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find the exact value or type \undefined\ tan 270°
undefined
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8. find lim _ { t ightarrow 9 } \frac { t - 9 } { sqrt { t } - 3 } 9. f…
For $\lim_{t ightarrow9}\frac{t - 9}{\sqrt{t}-3}$, the answer is $6$. For $\lim_{x ightarrow\frac{1}{2}}\frac{2x^{2}+3x - 2}{2x - 1}$, the answer is $\frac{5}{2}$.
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find the average rate of change of the function on the interval specifi…
\(8\)
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find the average rate of change on the interval specified for real numb…
\(-6\)
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7. based on the graph of y = f(x) below, find lim_{x\\to - 2^{+}}f(x) l…
\(\lim_{x\to - 2^{+}}f(x)=2\); \(\lim_{x\to - 2}f(x)\) does not exist; \(\lim_{x\to 2^{-}}f(x)=-2\); \(\lim_{x\to 2^{+}}f(x)=2\)
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q11 chain rule: composition of composition if ( y=cos ^{2} 3 x ), then …
A. -6 sin 3x cos 3x
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2. find the horizontal asymptote(s) of (i) ( y=\frac{3 x^{9}+5 x+2}{4 x…
(i) \(y = \frac{3}{4}\) (ii) \(y = 4\) and \(y=-\frac{5}{6}\) (iii) \(y=\frac{2}{5}\) and \(y =-\frac{2}{5}\)
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$$ lim _ { x ightarrow - infty } sqrt { x ^ { 2 } + 2 x - 3 } $$
\(+\infty\)
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if ( y = sin(3x) ), then ( \frac{dy}{dx} = ) a ( -3cos(3x) ) b ( -cos(3…
E. \(3\cos(3x)\)
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lim x→8 √x²+2x−3
\(\sqrt{77}\)
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suppose r is the shaded region in the figure, and f(x,y) is a continuou…
\(C=\frac{3}{5}x-\frac{12}{5}\), \(D = 2\)
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1. evaluate the limits at infinity $limlimits_{x\\to -\\infty}\\frac{3x…
\(\lim_{x ightarrow-\infty}\frac{3x^{5}+x^{4}-7x + 1}{2x^{4}+x^{3}-x + 1}=-\infty\), \(\lim_{x ightarrow\infty}\frac{3x^{3}+x^{2}-7x + 1}{2x^{4}-3x + 5}=0\), \(\lim_{x ightarrow-\…
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select the correct answer the graph of function ( f ) is shown. which s…
B. Function \(g\) has the same horizontal asymptote as \(f\) and a vertical asymptote at \(x = 6\)
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13 drag the tiles to the correct boxes to complete the pairs. not all t…
\(g(x)=-\frac{1}{2}f(x - 2)\) \(\to\) function decreases as \(x\) increases; \(j(x)=f(x)-\frac{1}{2}\) \(\to\) \(y\) - intercept at \((0,-\frac{1}{2})\) (Note: technically for \(y…
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a boat is being pulled toward a dock by a rope attached to a winch moun…
C. The speed at which the rope is pulled in is less than the speed at which the boat is moving
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said, \aha! they must be fattening fast! they will soon be as fat as i …
Third Person Omniscient
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which process describes repeating a function or operation multiple time…
B. Iteration
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f. $limlimits_{x \to 0}\frac{x - sin x}{x^{3}+x^{2}}$ g. $limlimits_{x …
F. $0$; G. $e^{2}$; H. $0$; I. $e^{2}$; J. $1$
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india and china have tried to population growth to avoid overtaxing the…
limit
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12. this committee is set up when the house and senate have passed diff…
12. B. conference committee 13. A. gerrymandering 14. A. six - year terms 15. C. majority party 16. C. Some states lose or gain members in the House of Representatives 17. C. seni…
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$$ lim _ { x ightarrow infty } sqrt { x ^ { 2 } + 7 x + 13 } - x $$
\(\frac{7}{2}\)
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evaluate the following limit using lhospitals rule where appropriate. l…
\(\frac{4}{15}\)
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lim x→∞ 1 + 9/x x/10
\(1\)
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lim_{x\\to\\infty}(1 + \\frac{9}{x})^{\\frac{10}{x}}
$1$
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consider the function $f(x)=\\cos(x)-\\frac{\\sqrt{3}}{2}x$ this functi…
\(A=\frac{4\pi}{3}\), \(B=\frac{5\pi}{3}\), \(f^{\prime\prime}(A)=\frac{1}{2}\), \(f^{\prime\prime}(B)=-\frac{1}{2}\), local minimum at \(A\), local maximum at \(B\).
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consider the function ( f(x)=8x + 5x^{-1} ). note that this function ha…
\( B = 0 \), \( (-\infty,B):CD \), \( (B,\infty):CU \)
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find the horizontal asymptote of $f(x)=\\frac{5x - x^{3}-5}{-4x^{3}+3x^…
\(y = \frac{1}{4}\)
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ex.1. $\\sin(\\tan^{-1}(\\frac{\\sqrt{3}}{2}))$ ex.2. $\\tan(\\cos^{-1}…
$\frac{\sqrt{21}}{7}$
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find the horizontal asymptote of $ f(x)=\frac{5 x-x^{3}-5}{-4 x^{3}+3 x…
\(y = \frac{1}{4}\)
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for each function, determine the long run behavior. \\( \\frac { x ^ { …
\(\frac{x^{3}+1}{x^{2}+2}\) behaves like \(y = x\) for large \(|x|\); \(\frac{x^{2}+1}{x^{2}+2}\) approaches \(y = 1\) for large \(|x|\); \(\frac{x^{2}+1}{x^{3}+2}\) approaches \(…
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personal boundaries are the limits and rules we set for ourselves withi…
1. True 2. False 3. False
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healthy relationships include manipulation. * 10 points true false if s…
- First question: B. False - Second question: A. True - Third question: A. True
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determine the intervals in which the following polynomial is increasing…
The function is increasing on the intervals \((-4,-2.17)\) and \((0.92,\infty)\), and decreasing on the intervals \((-\infty,-4)\) and \((-2.17,0.92)\)
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on which interval is the function $f(x)=-x^{3}+3x - 1$ increasing? $x <…
\(-1<x<1\)
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which corporation uses a double - layer of taxation? s corporation c co…
B. C corporation
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prewar boundaries 1754 postwar boundaries 1763 the proclamation line of…
limit colonial settlement west of the Appalachians to reduce frontier conflict
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a function ( f(x) ) is given. find the ( x ) values where ( f(x) ) has …
The point where \(f^\prime(x)\) has a relative maximum is \(2\). There are no points where \(f^\prime(x)\) has a relative minimum. So, for the relative maximum: \(2\) For the rela…
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select the correct answer. a new amusement park presold discounted tick…
A. -21 tickets per hour
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select the correct answer. a logarithmic function, h, is plotted on the…
A. \(-\frac{7}{8}\)
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question 26 starting with the graph of ( f(x)=6^{x} ), write the equati…
(a) \(y = 6^{x}+6\) (b) \(y = 6^{x + 2}\) (c) \(y=-6^{x}\)
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a function ( f(x) ) is given. find the ( x ) values where ( f(x) ) has …
- Relative maximum: \(-5,6\) - Relative minimum: \(-1\)
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select the correct answer. consider the graph of the function ( f(x)=lo…
A. The value of the function decreases as \(x\) approaches positive infinity.
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select the correct answer. which function has an asymptote at ( x = 5 )…
A. \(f(x)=\log(x - 5)\)
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find all horizontal asymptotes of the following function. f(x)=\frac{4 …
There is no horizontal asymptote.
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find all horizontal asymptotes of the following function. $f(x)=\\frac{…
\(y = 1\)
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find all horizontal asymptotes of the following function. f(x)=\frac{2 …
No Horizontal Asymptotes
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find all vertical asymptotes of the following function. f(x)=\frac{2 x^…
The vertical asymptotes are \(x=-5\) and \(x = 1\)
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find all vertical asymptotes of the following function. f(x)=\frac{2 x^…
The vertical asymptotes are \(x=-6\) and \(x = 5\)
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question find all vertical asymptotes of the following function. f(x)=\…
No Vertical Asymptotes
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select the correct answer. which statements are true about the graph of…
C. The graph has a domain of \(\{x|0 < x < \infty\}\) and an \(x -\)intercept of \((1,0)\)
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read the quotations below from norton justers the phantom tollbooth. ma…
- "So many things are possible just as long as you don't know they're impossible" → Not knowing the limits of what can be done sometimes allows you to achieve more. - "I often fin…
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16. what does the phrase \we the people\ signify in the preamble? the g…
16. The government’s power comes from the people. 17. To grant unlimited power to the President. 18. States must provide an attorney to defendants in felony cases who cannot affor…
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13. what was the initial intention of the bill of rights? to permit sta…
13. To limit the national government’s power and safeguard individual liberties. 14. All of the above 15. The Constitution, federal statutes, and treaties are the ultimate law of …
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which key features were used to sketch this graph? the function is cont…
The function is continuous. The \(y\) - intercept is \(0\). The real zeros are between \(-2\) and \(-1\), and at \(0\). The relative maximum is at \((1,4.5)\). The relative minimu…
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use the graph. estimate the x - coordinate at which a relative minimum …
between \(2\) and \(3\)
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use the graph. estimate the x - coordinate at which a relative maximum …
1
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10. which case ruled that burning the u.s. flag is protected as free sp…
10. Texas v. Johnson 11. To provide for the common defense 12. Executive, Legislative, and Judicial
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7. what supreme court case ensured that people must be informed of thei…
7. Miranda v. Arizona. 8. The people have the power to elect their leaders. 9. The 14th Amendment.
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use the aleks calculator to evaluate each expression. give your answers…
\(\sin^{-1}(1.62)=\text{Undefined}\), \(\tan^{-1}(0.66) = 0.58\), \(\cos^{-1}(-0.64)=2.27\)
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4. which system allows each branch of government to limit the powers of…
4. C. Checks and Balances 5. A. The division of power between the national and state governments. 6. B. The steps through which a bill becomes a law.
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1. what is the purpose of the preamble in the u.s. constitution? to lis…
1. To introduce the Constitution and outline the goals of the government. 2. Popular Sovereignty. 3. To divide government responsibilities among three branches.
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rewrite \\( \\cos \\left( \\tan ^ { - 1 } \\frac { w } { \\sqrt { 9 - w…
$\frac{\sqrt{9 - w^{2}}}{3}$
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1. what does the concept of popular sovereignty mean? the governments p…
1. The government's power comes from the people. 2. The legal principle that applies the protections in the Bill of Rights to state governments through the 14th Amendment. 3. Sele…
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find the absolute extrema if they exist, as well as all values of x whe…
A. The absolute maximum is \(-4.00\), which occurs at \(x=-2.0\) and \(x = 0\). A. The absolute minimum is \(-20.00\), which occurs at \(x=-4\).
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find the exact value of \\( \\cos ( \\cos ^ { - 1 } 3 ) \\). write your…
Undefined
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1. what was the original purpose of the bill of rights? to give the pre…
1. To limit the powers of the national government and protect individual liberties. 2. The process by which the Supreme Court applies the protections of the Bill of Rights to the …
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find the exact value of \\( \\sin ^ { - 1 } \\left( \\sin \\frac { 9 \\…
\(-\frac{2\pi}{7}\)
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1. what is the core principle of popular sovereignty in a democracy? th…
1. Government power comes from the people and must be responsive to their will. 2. Government actions must reflect the preferences of the majority. 3. To prevent the majority from…
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rewrite \\( \\cos \\left( \\tan ^ { - 1 } 4 v \ ight) \\) as an algebra…
\(\frac{1}{\sqrt{1 + 16v^{2}}}\)
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find the open intervals where the function is concave upward or concave…
- For concavity: B. The function is concave upward on the interval(s) \( \). The function is never concave upward. The function is concave downward on the interval(s) \((-\infty,\…
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for the function ( f(x)=\frac{x^{2}}{1 + x} ), find ( f^{prime}(x) ). t…
If the function is \(y = f(x)=\frac{2}{(1 + x)^{3}}\), there is no correct option. If the function is \(y = f(x)=\frac{2x^{2}}{1 + x}\), there is also no correct option. It is lik…
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if ( f ) is continuous, ( f(1)=0 ), and ( f(1)=8 ), evaluate lim _{x ig…
\(64\)
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what happens if you try to use lhospitals rule to find the limit? \\( \…
Repeated applications of l'Hospital's Rule result in the original limit or the limit of the reciprocal of the function. The value of the limit \(\lim_{x ightarrow\infty}\frac{x}{\…
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find the limit. use lhospitals rule where appropriate. if there is a mo…
\( e^{3} \)
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find the limit. use lhospitals rule where appropriate. if there is a mo…
\(1\)
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find the limit. use lhospitals rule if appropriate. if there is a more …
\(6\)
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find the limit. use lhospitals rule where appropriate. if there is a mo…
\( e^{-4} \)
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find the limit. use lhospitals rule where appropriate. if there is a mo…
\(1\)
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find the open intervals where the function is concave upward or concave…
A. The function is concave upward on the interval\((-\infty,\frac{5}{2})\) and concave downward on the interval\((\frac{5}{2},\infty)\) A. The function has an inflection point at\…
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find all points where the function has any relative extrema or saddle p…
A. Saddle point at \((0,0)\)
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find the limit. use lhospitals rule where appropriate. if there is a mo…
\( 0 \)
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find the limit. use lhospitals rule where appropriate. if there is a mo…
\(\frac{7}{9}\)
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find the limit. use lhospitals rule where appropriate. if there is a mo…
\(\frac{1}{72}\)
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which term best identifies the point of view in farewell to manzanar? t…
first - person
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read the excerpt from sinners in the hands of an angry god. you will kn…
C. illustrate that this type of suffering is unimaginable.
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find the limit. use lhospitals rule if appropriate. if there is a more …
\(2\)
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use the root test to determine if the following series converges or div…
Since the limit resulting from the root test is \(\frac{1}{64}\) which is \(< 1\), the root test indicates that the series converges.