First slide

Introduction to limits

Question

$lim_{x \to 0} \frac{x}{\tan^{- 1} 2 x}$ is equal to

Moderate

A

0
B

1 / 2
C

1
D

$\infty$

Solution

We have,
$lim_{x \to 0} \frac{x}{\tan^{- 1} 2 x} = \frac{1}{2} lim_{x \to 0} \frac{1}{(\frac{\tan^{- 1} 2 x}{2 x})} = \frac{1}{2}$

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