First slide

Introduction to limits

Question

$lim_{x \to x} {(1 + \frac{2}{x})}^{x}$ equals

Moderate

A

$e$
B

$\infty$
C

$e^{2}$
D

$\frac{1}{e}$

Solution

We have,
$lim_{x \to \infty} {(1 + \frac{2}{x})}^{x} = e^{lim_{x \to \infty} \frac{2}{x} \times x} = e^{2}$

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