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Math Help - limit problem

  1. #1
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    limit problem

    lim as x->0 of f(x) where f(x)= (1 /x^2)sin(x/2)

    i plugged in numbers close to zero and discovered the limit to be 0.5 but how do i solve this algebraically.
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  2. #2
    Moo
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    Hello,
    Quote Originally Posted by myoplex11 View Post
    lim as x->0 of f(x) where f(x)= (1 /x^2)sin(x/2)

    i plugged in numbers close to zero and discovered the limit to be 0.5 but how do i solve this algebraically.
    If it is indeed (1/x)sin(x/2), then the limit is not 0.5, it's infinite >.>

    If it is (1/x)sin(x/2), substitute t=x/2 (---> x=2t) and you'll find a limit you know.

    If it is (1/x)sin(x/2), substitute t=x/2.
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  3. #3
    is up to his old tricks again! Jhevon's Avatar
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    Quote Originally Posted by Moo View Post
    Hello,

    If it is indeed (1/x)sin(x/2), then the limit is not 0.5, it's infinite >.>

    If it is (1/x)sin(x/2), substitute t=x/2 (---> x=2t) and you'll find a limit you know.

    If it is (1/x)sin(x/2), substitute t=x/2.
    actually, in the first case, the limit doesn't exist. the one-sided limits are not equal
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