Positive Sequences and Series

Integral Test

suppose \(\text{An}\left(x\right)\leq 0\), then
  1. \(\int_1^{\infty}f(x)dx:C\Rightarrow\sum_{n=1}^{\infty}An:C\)
  2. \(\int_1^{\infty}f(x)dx:C\Rightarrow\sum_{n=1}^{\infty}An:D\)