Question

$\underset{x\to 0}{lim}\frac{x}{{\tan }^{-1}2x}$ is equal to.

• A. $\frac{1}{2}$
• B. $\infty$
• C. $0$
• D. $1$

Answer 1

The correct option is A $\frac{1}{2}$

$\underset{x\to 0}{lim}\frac{x}{{\tan }^{-1}2x}$

$=\frac{1}{2}\underset{x\to 0}{lim}\frac{2x}{{\tan }^{-1}2x}$

$=\frac{1}{2}\times 1$

$=\frac{1}{2}$