# Convergence or Divergence, Absolute or Conditional of Summation

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 March 4, 2021, 5:44 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.

$2.19