First slide

Introduction to limits

Question

$lim_{x \to 0} \frac{e^{tanx} - e^{x}}{tanx - x}$ is equal to

Moderate

A

1
B

$\frac{1}{2}$
C

$\frac{1}{3}$
D

0

Solution

$lim_{x \to 0} \frac{e^{tanx} - e^{x}}{tanx - x} = ∴ lim_{x \to 0} \frac{e^{x} (e^{tanx - x} - 1)}{tanx - x} = 1$

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