Question

evaluate the limit
lim_{s→16} (16 - s)/(4 - √s)

Explanation:

Step1: Rationalize the denominator

Multiply numerator and denominator by $4 + \sqrt{s}$:

$$
LATEXBLOCK0
$$

Since $(a - b)(a + b)=a^{2}-b^{2}$, the denominator is $16 - s$.
So we have $\lim_{s
ightarrow16}\frac{(16 - s)(4+\sqrt{s})}{16 - s}$.

Step2: Simplify the expression

Cancel out the common factor $16 - s$ (for $s
eq16$):

$$
LATEXBLOCK1
$$

Step3: Substitute the value of $s$

Substitute $s = 16$ into $4+\sqrt{s}$:

$$
LATEXBLOCK2
$$

Answer:

$8$