_ 0 1 - ^2 = - Vidyadip

MCQ

$\mathop {\lim }\limits_{\theta \to 0} \frac{{1 - \cos \theta }}{{{\theta ^2}}} = $

A
$1$
B
$2$
✓
$\frac{1}{2}$
D
$\frac{1}{4}$

✓

Answer

Correct option: C.

$\frac{1}{2}$

c
(c) $ \mathop {\lim }\limits_{\theta \to 0} \,\frac{{2\,{{\sin }^2}(\theta /2)}}{{{\theta ^2}}} = \frac{1}{2}.$

Aliter : Apply $ L-$ Hospital’s rule.

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