Problem

Examine the following series for convergence

1.

2.

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Attempt:

1. This series can be rewritten as .

I try to use the Ratio Test. By the Ratio Test

I know the term 1 + 1/k goes to 1 as . However I do know about the left term.

2. I tried to find if this series converges or not by the Comparison Test but went nowhere.

Thank you for your time.