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

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

Step by step solution

Problem

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

Show full step-by-step solution

Answer

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

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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:

1. See formulas

Time to solve it:

0.24 seconds