The correct option is A 2 Now, lim_x → 01 cos 2xx^2 = lim_x → 02sin^2xx^2 =2 (lim_x → 0sin xx)^2 =2.1 =2 . ...

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Expansions to Remove Indeterminate Form

limx → 01-cos...

Question

$lim x \to 0 \frac{1 - cos 2 x}{x^{2}} =$

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Solution

The correct option is A $2$
Now,
$lim x \to 0 \frac{1 - cos 2 x}{x^{2}}$
$=$ $lim x \to 0 \frac{2 {sin}^{2} x}{x^{2}}$
$= 2$ ${(lim x \to 0 \frac{sin x}{x})}^{2}$
$= 2.1$
$= 2$ .

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