?(a) Use the Direct Comparison Test to show that the first series converges by comparing

Chapter 10, Problem 3

(choose chapter or problem)

(a) Use the Direct Comparison Test to show that the first series converges by comparing it to the second series.

\(\sum_{n=2}^{\infty} \frac{n}{n^{3}+5} \quad \sum_{n=2}^{\infty} \frac{1}{n^{2}}\)

(b) Use the Limit Comparison Test to show that that the first series converges by comparing it to the second series.

\(\sum_{n=2}^{\infty} \frac{n}{n^{3}-5} \quad \sum_{n=2}^{\infty} \frac{1}{n^{2}}\)

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