Determine if the series below converges or diverges by comparing it to a p-series using the Comparison Test. 7n³ Σ5²-2²-2² 5n4 - 2n³ - 2n² Select the correct answer below: The series converges. O The series diverges. It cannot be determined. ∞0 n=1

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Question
**Determine if the series below converges or diverges by comparing it to a p-series using the Comparison Test.**

\[
\sum_{n=1}^{\infty} \frac{7n^3}{5n^4 - 2n^3 - 2n^2}
\]

**Select the correct answer below:**

- The series converges.
- The series diverges.
- It cannot be determined.
Transcribed Image Text:**Determine if the series below converges or diverges by comparing it to a p-series using the Comparison Test.** \[ \sum_{n=1}^{\infty} \frac{7n^3}{5n^4 - 2n^3 - 2n^2} \] **Select the correct answer below:** - The series converges. - The series diverges. - It cannot be determined.
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