Determine the convergence or divergence of the p-series $\sum _ { n = 1 } ^ { \infty } \frac { 1 } { n ^ { 4 } }$ .
A)The series converges.
B)The series diverges.

Name: Determine the convergence or divergence of the p-series $\sum _ { n = 1 } ^ { \infty } \frac { 1 } { n ^ { 4 } }$ . A)The series converges. B)The series diverges.
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Question

Quizplus · Accepted Answer

The series converges because it is a p-series with $p = 4$, and for any p-series $\sum _ { n = 1 } ^ { \infty } \frac { 1 } { n ^ { p } }$, if $p > 1$, the series converges.

Determine the Convergence or Divergence of the P-Series ∑n=1∞1n4\sum _ { n = 1 } ^ { \infty } \frac { 1 } { n ^ { 4 } }∑n=1∞​n41​

Determine the Convergence or Divergence of the P-Series $\sum _ { n = 1 } ^ { \infty } \frac { 1 } { n ^ { 4 } }$