Determine the convergence or divergence of the p-series
A) The series converges.
B) The series diverges.

Name: Determine the convergence or divergence of the p-series A) The series converges. B) The series diverges.
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Question

​Determine the convergence or divergence of the p-series  ​
A) ​The series converges. 
B) The series diverges.

Quizplus · Accepted Answer

The p-series is defined as:

∑ n^p

If p ≤ -1, then the series converges, and if p > -1, then the series diverges.

Here, p = -2, which is less than -1, so the series converges.

Therefore, the best choice is A) The series converges.

​Determine the Convergence or Divergence of the P-Series ​

Determine the Convergence or Divergence of the P-Series