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Convergence Test

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    • Thread Starter

    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?

    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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Updated: May 16, 2012
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