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Math Help - help solving a limit

  1. #1
    Junior Member
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    help solving a limit

    Hi, im having trouble solving this limit, lim as k goes to infinity of k^2*sin^2(1/k). Can someone please help me start this one?
    Thank You
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  2. #2
    MHF Contributor Mathstud28's Avatar
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    Quote Originally Posted by cowboys111 View Post
    Hi, im having trouble solving this limit, lim as k goes to infinity of k^2*sin^2(1/k). Can someone please help me start this one?
    Thank You
    YOu can use L'hopitals rule or the squeeze theorem
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  3. #3
    Super Member flyingsquirrel's Avatar
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    Hi

    You may also notice that k^2\sin^2 \frac{1}{k}=\left(\frac{\sin \frac{1}{k}}{\frac{1}{k}}\right)^2 which looks like the derivative of the sine taken at 0 and squared.
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