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Math Help - Limit Proof

  1. #1
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    Limit Proof

    Hello MHF,
    Just doing some study for my final, and not sure on the proof of this question;
    Prove that \lim_{x\to0}x^4\cos\frac{2}{x}=0

    Cheers,
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  2. #2
    Grand Panjandrum
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    Quote Originally Posted by Robb View Post
    Hello MHF,
    Just doing some study for my final, and not sure on the proof of this question;
    Prove that \lim_{x\to0}x^4\cos\frac{2}{x}=0

    Cheers,
    \left| x^4 \cos \left( \frac{2}{x} \right) \right| < x^4

    CB
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