Question

Solve:
$\underset{x\to 0}{lim}\frac{{\sin }^{-11}2x}{x}$

Answer 1

$\begin{array}{c}{lim}_{x\to 0}\frac{{\sin }^{-1}2x}{x}\\ Itis\frac{0}{0}form\\ \Rightarrow {lim}_{X\to 0}\frac{2}{\frac{\sqrt{1-4x^2}}{1}}\\ \Rightarrow {lim}_{x\to 0}\frac{2}{\sqrt{1-4x^2}}=2Ans.\end{array}$