# 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.

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##### Solution Summary

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

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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 ...

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