Determine the convergence or divergence of the series. $\sum _ { n = 1 } ^ { \infty } \frac { 4 } { n \cdot \sqrt [ 8 ] { n } }$
A) converges
B) diverges
C) cannot be determined

Name: Determine the convergence or divergence of the series. $\sum _ { n = 1 } ^ { \infty } \frac { 4 } { n \cdot \sqrt [ 8 ] { n } }$ A) converges B) diverges C) cannot be determined
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Question

Quizplus · Accepted Answer

The series is a p-series with $p=\frac{9}{8}>1$, so it converges.

Determine the Convergence or Divergence of the Series ∑n=1∞4n⋅n8\sum _ { n = 1 } ^ { \infty } \frac { 4 } { n \cdot \sqrt [ 8 ] { n } }∑n=1∞​n⋅8n​4​

Determine the Convergence or Divergence of the Series $\sum _ { n = 1 } ^ { \infty } \frac { 4 } { n \cdot \sqrt [ 8 ] { n } }$