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Thread: Trig Limit

  1. December 8th 2007, 06:28 PM #1
    akhayoon
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    Trig Limit

    \lim_{x\to1^{-1}}(x-1) sin(\frac{1}{x-1})

    I heard that the answer equals 0, if so how is this?

    thank you
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  2. December 8th 2007, 06:31 PM #2
    ThePerfectHacker
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    Let t=x-1 to get \lim_{t\to 0}t\sin \frac{1}{t}.

    Note, \left| \sin \frac{1}{t}\right|\leq 1 use squeeze theorem.
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