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Math Help - [SOLVED] proving limits

  1. #1
    TGS
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    [SOLVED] proving limits

    Prove that lim (x -> 0) x^4 cos 2/x = 0

    I don't get it.. do I use the squeeze theorem to prove it or something else??
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  2. #2
    Senior Member apcalculus's Avatar
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    Quote Originally Posted by TGS View Post
    Prove that lim (x -> 0) x^4 cos 2/x = 0

    I don't get it.. do I use the squeeze theorem to prove it or something else??
    yes, use squeeze with f(x) = -x^4, g(x) = x^4 cos(\frac{2}{x}) and h(x) = x^4

    check conditions: f(x) \leq g(x) \leq h(x) near x=a.
    and: the limits of the outer functions coincide.

    I recognize this problem. Are you using Stewart?

    Good luck!
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  3. #3
    TGS
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    yes, its from Stewart and thanks
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