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Math Help - Find the limit of the sequence

  1. #1
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    Find the limit of the sequence

    Please help!
    Use the squeezing theorem to find the limit of the sequence
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  2. #2
    Moo
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    Hello,

    First of all, you can divide the numerator & the denominator by n

    --> a_n=\frac{\sin(n)+3\cos(n)}{n+1}

    Now, the squeeze theorem.

    (these are all \leq)

    -1<sin(n)<1
    -1<cos(n)<1 --> -3<3cos(n)<3

    ---> -1-3<sin(n)+3cos(n)<1+3

    Hence, \frac{-4}{n+1}<a_n=\frac{\sin(n)+3\cos(n)}{n+1}<\frac{4}{  n+1}
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  3. #3
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    Moo, u r alwasy so helpful and...so fast!
    Can't thank u enough
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