Convergence Test

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  1. salmon12345's Avatar
    1 16-05-2012  22:27
    • Junior Member
    • Posts: 47
    Convergence Test
    Determine if the sequence converges and if it does, find it's limit.

    2n +((-1)^n)*(n^(1/2))

    I've been trying to use the alternating series test however I'm not sure what to do about the 2n?
  2. ttoby's Avatar
    2 16-05-2012  22:34
    • Vengeful, Imperial Overlord of The Student Room
    • Posts: 3,810
    Re: Convergence Test
    I don't know about the alternating series test but I would use the sandwich rule on that: Show that it's \geq 2n -\sqrt{n} and show that this sequence in turn is greater than another sequence which also tends to infinity.
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