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Use the ratio test to determine whether the series is convergent or divergent.

1/2 + 2^2/2^2 + 3^2/2^3 + 4^2/2^4 + ...

  • calculus -

    As n-> infinity, the ratio of successive terms, [(n+1)/n]^2*(1/2), approaches 1/2

    Read about the ratio test here (if you are not already familiar with it):

    That will tell you what the answer is in this case.

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