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# Find the limit of (1-1cos(x))/(x^2) as x approaches 0

### Videos

$\frac{1}{2}$

## Step-by-step explanation

Problem

$\lim_{x\to0}\left(\frac{1-\cos\left(x\right)}{x^2}\right)$
1

As the limit results in indeterminate form, we can apply L'Hôpital's rule

$\lim_{x\to0}\left(\frac{\frac{d}{dx}\left(1-\cos\left(x\right)\right)}{\frac{d}{dx}\left(x^2\right)}\right)$

$\frac{1}{2}$

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$\lim_{x\to0}\left(\frac{1-\cos\left(x\right)}{x^2}\right)$

### Main topic:

Limits by L'Hôpital's rule

~ 0.58 seconds