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?Determine whether the series converges or diverges
Chapter 10, Problem 7(choose chapter or problem)
QUESTION:
Determine whether the series converges or diverges.
\(\sum_{n=1}^{\infty} \frac{1}{n^{3}+8}\)
Questions & Answers
QUESTION:
Determine whether the series converges or diverges.
\(\sum_{n=1}^{\infty} \frac{1}{n^{3}+8}\)
ANSWER:Step 1 of 3
\(\sum_{n=1}^{\infty} \frac{1}{n^{3}+8}<\sum_{n=1}^{\infty} \frac{1}{n^{3}}\)
Recall that : p-series with p = 3 is converging
Since the given series is less than a converging series, it converges