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## Homework Statement

find the limit of :

[tex]\lim_{x\rightarrow0}\frac{\sqrt{5-cos(x)}-2}{x^{2}}[/tex]

## Homework Equations

## The Attempt at a Solution

I multiplied the numerator and the denominator by the conjugate of the numerator and i got :

[tex]\frac{1-cos(x)}{x^{2}(\sqrt{5-cos(x)}+2)}[/tex]

then: i divided top and bottom by x^2 and i got (1/2)/4 which is 1/8.

Is what I have done correct?

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