_ x 0 1 - x x = - Vidyadip

MCQ

$\mathop {\lim }\limits_{x \to 0} \frac{{1 - \cos x}}{x} = $

✓
$0$
B
$\frac{1}{2}$
C
$\frac{1}{3}$
D
None of these

✓

Answer

Correct option: A.

$0$

a
(a) $\mathop {\lim }\limits_{x \to 0} \,\frac{{2\,{{\sin }^2}(x/2)}}{x} = 0.$

Aliter : Apply $L-$ Hospital’s rule.

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