- #1

mr.tea

- 102

- 12

## Homework Statement

Hi,

I have been trying to find the limit of the following expression in order to determine the Big-o(in particular, the order of decaying to zero)

[tex]\lim_{x\rightarrow 0} \frac {\cos (x) -1 +\frac {x}{2} }{x^4}[/tex]

Is there another "reasonable" way to solve it?

Thank you,

Thomas

## Homework Equations

[tex]\lim_{x\rightarrow 0} \frac {\cos (x) -1 +\frac {x}{2} }{x^4}[/tex]

## The Attempt at a Solution

I have tried to factorize x^2 in the numerator and denominator, and yield nothing(well, yield that the limit goes to infinity,). tried to replace cosx with sqrt(1-sin^2 x) and multiply with the conjugate but nothing.