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Math Help - Sequence converge or diverge?

  1. #1
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    Sequence converge or diverge?

    How can I tell if this diverges or converges:

    A_n = n - (n^2 - n) ^ (1/2)
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  2. #2
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    Quote Originally Posted by veronicak5678 View Post
    How can I tell if this diverges or converges:
    A_n = n - (n^2 - n) ^ (1/2)
    n - \sqrt {n^2  - n}  = \frac{n}{{n + \sqrt {n^2  - n} }}
    Now divide through by n.
    Does that help?
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  3. #3
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    I see. Thanks for your help!
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