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Math Help - Squeeze Theorem for Sequences

  1. #1
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    Squeeze Theorem for Sequences

    \frac{\sqrt{n}}{2n*\csc{\sqrt{9n+4}}}
    (sequence fro n=1 to infinity of above)

    just wondering how to use the squeeze theorem to show this converges to 0?

    for the greater than or equal to fxn, maybe use n as the numerator? (since sqrt n less than or equal to n for n=1 to infinity)
    also for the lesser than or equal fxn, I thought perhaps, just 1 on the numerator (sqrt n greater than or equal to 1 for n=1 to infinity)

    thank you!
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  2. #2
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    I keep finding functions that are greater than this but can't get them to converge them to 0,
    I do notice that if you move the csc to the numerator as \sin{\sqrt{9n+4}}
    is less than or equal to 1... can't seem to use it though!
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