# Limits with cos(x) and x^2

1. Feb 23, 2012

### mtayab1994

1. The problem statement, all variables and given/known data

solve the limit:

$$\lim_{x\rightarrow0}\frac{2cos^{2}(x)-cos(x)-3}{x^{2}}$$

3. The attempt at a solution

Ok so i factored out the numerator, but i don't know where to go from there any help please.

$$\lim_{x\rightarrow0}\frac{2cos^{2}(x)-cos(x)-3}{x^{2}}=\lim_{x\rightarrow0}=\frac{(2cos(x)-3)(cos(x)+1)}{x^{2}}$$

2. Feb 23, 2012

### mtayab1994

Alright never mind i got limit as x approaches 0 to equal -∞.