Limit as x->pi/2

**JOhkonut** · August 22nd 2008, 05:34 PM

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.

**Chop Suey** · August 22nd 2008, 05:48 PM

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?

**JOhkonut** · August 22nd 2008, 05:53 PM

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!

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