6. For each series determine if it converges or diverges, and if it converges find its sum: (a) Σ 8. (0.6)" n=0 (b) 8 n=0 n+1 3n+1 7. Consider the famous series ∞ n=1 1 n (a) What is the name of this series? (b) Does this series converge or diverge? (c) What does the Divergence Test tell us about this series?

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A: Please see the below picture for detailed solution.

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