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Thread: Sequences Q3

  1. March 9th 2009, 02:03 AM #1
    twilightstr
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    Sequences Q3

    determine whether the sequence converges or diverges for An= (n)^1/2 - (n^2-1)^1/2
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  2. March 9th 2009, 05:08 AM #2
    skeeter
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    Quote Originally Posted by twilightstr View Post
    determine whether the sequence converges or diverges for An= (n)^1/2 - (n^2-1)^1/2
    multiply the nth term by ...

    <br /> \frac{n^{\frac{1}{2}} + (n^2-1)^{\frac{1}{2}}}{n^{\frac{1}{2}} + (n^2-1)^{\frac{1}{2}}}<br />

    ... simplify, then determine the limit of the result as n \to \infty
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