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Math Help - Limit as x->pi/2

  1. #1
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    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.
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  2. #2
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    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?
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  3. #3
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    Quote Originally Posted by Chop Suey View Post
    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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