_ x e 1- x x^2 = - Vidyadip

MCQ

$\lim _{x \rightarrow e} \frac{1-\cos x}{x^2}=$

✓
$\frac{1}{2}$
B
2
C
$\frac{1}{3}$
D
3

✓

Answer

Correct option: A.

$\frac{1}{2}$

(A)
$\lim _{x \rightarrow 0} \frac{1-\cos k x}{x^2}=\frac{ k ^2}{2}$
$\lim _{x \rightarrow 0} \frac{1-\cos x}{x^2}=\frac{1^2}{2}=\frac{1}{2}$

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