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Homework Help: Series problems -Comparison Tests

  1. Mar 29, 2009 #1
    Series problems --Comparison Tests

    1. The problem statement, all variables and given/known data

    Are the following series convergent or divergent?

    a. summation (n=1 to infinity) (n-1) / (n^2 * n^(1/2))

    b. summation (n=1 to infinity) (n+4^n) / (n+6^n)

    c. summation (n=1 to infinity) (n+5) / [(n^7 + n^2)^(1/3)]

    2. Relevant equations

    Exclusive use of comparison test and/or limit comparison test

    3. The attempt at a solution

    a. I assume convergence since 1/n term factored out. But, the problem I have here is that n-1 / (n^2 * n^1/2) is less than 1/n so how can n=1 (by the p-test) be convergent?
  2. jcsd
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