# Math Help - [SOLVED] Evaluation of a limit

1. ## [SOLVED] Evaluation of a limit

Could someone explain to me how to properly evaluate the limit of this equation:

$\frac{x^2}{1 - \cos{x}}$

as x approaches 0 from the right? I know that the answer is 2 from testing values close to 0, but that won't be good enough for full credit.

2. Originally Posted by sinewave85
Could someone explain to me how to properly evaluate the limit of this equation:
$\frac{x^2}{1 - \cos{x}}$
as x approaches 0 from the right? I know that the answer is 2 from testing values close to 0, but that won't be good enough for full credit.
$\frac{x^2}{1 - \cos x} = \frac{x^2}{1 - \cos x} \frac{1 + \cos x }{1 + \cos x } = \frac{x^2(1 + \cos x)}{1 - \cos^2 x } = \frac{x^2}{\sin^2 x }(1 + \cos x)$ Now do the separate limits.