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    Convergence or Divergence, Absolute or Conditional of Summation

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    Test for convergence or divergence, absolute or conditional of a summation.

    Sigma infinite over and n=1 under times 2n+1/n^2+2.

    © BrainMass Inc. brainmass.com December 24, 2021, 4:48 pm ad1c9bdddf
    https://brainmass.com/math/integrals/convergence-divergence-absolute-conditional-summation-8805

    Solution Preview

    This series diverges. You can tell by using the "integral test", which states

    sum from k =1 to infinity of f(k) converges if and only if

    the integral from q to infinity of f(x)dx converges

    for x >= q >= 1

    The integral of (2x + 1) / (x^2 + 1) can be broken into the sum of ...

    Solution Summary

    The solution solves for convergence or divergence, absolute or conditional of a summation.

    $2.49

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