Question

e)

$$ \\lim _ { x \ ightarrow \\infty } \\left( 1 + \\frac { 3 } { x } \ ight) ^ { 2 x } $$

Explanation:

Step1: Use the formula $\lim_{x\to\infty}(1+\frac{a}{x})^{bx}=e^{ab}$

Let $a = 3$ and $b = 2$.

Step2: Calculate the exponent

The exponent is $ab=3\times2 = 6$.

Answer:

$e^{6}$