Question

Value of $\lim _{x \rightarrow 0} \frac{\sqrt[3]{1+\tan x}-\sqrt[3]{1-\tan x}}{x}$ is

(1) $\frac{1}{2}$

(2) $-\frac{2}{3}$

(3) $\frac{1}{3}$

(4) $\frac{2}{3}$

Answer 1

ANSWER : Here, The value of $\lim _{x \rightarrow 0} \frac{\sqrt[3]{1+\tan x}-\sqrt[3]{1-\tan x}}{x}$ will be : $\frac{2}{3}$

So, The correct answer of this question will be option (4).