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.
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Let $\displaystyle u = x - \frac{\pi}{2}$ $\displaystyle u \to 0\ as\ x \to \frac{\pi}{2}$ Now, the limit becomes: $\displaystyle \lim_{u \to 0} \frac{\sin{u}}{u}$ Can you evaluate it now?
Originally Posted by Chop Suey Let $\displaystyle u = x - \frac{\pi}{2}$ $\displaystyle u \to 0\ as\ x \to \frac{\pi}{2}$ Now, the limit becomes: $\displaystyle \lim_{u \to 0} \frac{\sin{u}}{u}$ 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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