# Convergence or Divergence, Absolute or Conditional of Summation

Not what you're looking for? Search our solutions OR ask your own Custom question.

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

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

Â© BrainMass Inc. brainmass.com December 24, 2021, 4:48 pm ad1c9bdddfhttps://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