# Limit soving

1. Jan 27, 2008

### fermio

1. The problem statement, all variables and given/known data
$$\lim_{x\to\frac{\pi}{2}}(x-\frac{\pi}{2})\tan x$$

2. Relevant equations

3. The attempt at a solution

$$\lim_{x\to\frac{\pi}{2}}(x-\frac{\pi}{2})\tan x= \lim_{x\to\frac{\pi}{2}}(x-\frac{\pi}{2})\cdot\frac{1-\cos(2x)}{\sin(2x)}$$

2. Jan 27, 2008

### morphism

Try rewriting it as (x - pi/2)/(cotx). Why is this helpful?