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MCQ

$\lim \tan\text{x} = \text{x}\rightarrow \frac{\pi }{2}$

A
$1$
B
$0$
C
$\frac{1}{\pi}$
✓
does not exisz

✓

Answer

Correct option: D.

does not exisz

$\text{L.H.L}.=\lim \tan\text{x}=+\infty \ \text{x}\rightarrow \Big(\frac{\pi}{2}\Big)^-$
$\text{R.H.L}.=\lim \tan\text{x}=-\infty \ \text{x}\rightarrow \Big(\frac{\pi}{2}\Big)^+$
Clearly left hand $ \text{limit} \neq$ right hand limit.
Hence given limit does not exist.

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