$\lim\limits_{x \rightarrow \pi / 4} \frac{cosec ~x-\sec x}{\cot x-\tan x}$ |
$\sqrt{2}$ $1/\sqrt{2}$ 1/2 2 |
$1/\sqrt{2}$ |
$\lim\limits_{x \rightarrow \frac{\pi}{4}} \frac{cosec ~x-\sec x}{\cot x-\tan x}=\lim\limits_{x \rightarrow \frac{\pi}{4}} \frac{1}{\sin x+\cos x}= 1/\sqrt{2}$ Hence (2) is the correct answer. |