Does the following series converge or diverge? 1 Σ 2 n n=1 3 n n O The series diverges. O The series converges.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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**Problem Statement: Series Convergence or Divergence**

Does the following series converge or diverge?

\[
\sum_{n=1}^{\infty} \left( \frac{1}{n^2} - \frac{1}{n^3} \right)^n
\]

- ⃝ The series diverges.

- ⃝ The series converges.
Transcribed Image Text:**Problem Statement: Series Convergence or Divergence** Does the following series converge or diverge? \[ \sum_{n=1}^{\infty} \left( \frac{1}{n^2} - \frac{1}{n^3} \right)^n \] - ⃝ The series diverges. - ⃝ The series converges.
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