Question

$\lim _{x \rightarrow 0^{+}} \frac{-1+\sqrt{1+4(\tan x-\sin x)}}{-1+\sqrt{1+4 x^{3}}}$ is equal to

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

(2) 0

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

(4) 2

Answer 1

Here,

The $\lim _{x \rightarrow 0^{+}} \frac{-1+\sqrt{1+4(\tan x-\sin x)}}{-1+\sqrt{1+4 x^{3}}}$ is equal to : ½

So, The correct answer of this question will be option (1).