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

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

Answer

$\frac{1}{2}$

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

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

Unlock this step-by-step solution!

Answer

$\frac{1}{2}$

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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

Used formulas:

4. See formulas

Time to solve it:

~ 0.58 seconds