Limits with Trigonometric Functions and Polynomials

[mtayab1994]

Homework Statement

solve the limit:

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

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.

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

 

[mtayab1994]

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