# Math Help - Limit as x->pi/2

1. ## Limit as x->pi/2

lim as x->pi/2 of sin(x-pi/2)/(x-pi/2)

I wasn't sure if this was calc or pre-calc, but pre-calc had limits in the subtitle, so i put it here.

2. Let $u = x - \frac{\pi}{2}$

$u \to 0\ as\ x \to \frac{\pi}{2}$

Now, the limit becomes:

$\lim_{u \to 0} \frac{\sin{u}}{u}$

Can you evaluate it now?

3. Originally Posted by Chop Suey
Let $u = x - \frac{\pi}{2}$

$u \to 0\ as\ x \to \frac{\pi}{2}$

Now, the limit becomes:

$\lim_{u \to 0} \frac{\sin{u}}{u}$

Can you evaluate it now?
Hey, I know this one: It's one! Thanks, can't believe I didn't see that!