Test the following series for convergence or divergence. Justify the decision.

The series converges. We apply the limit ratio test, letting

Then, we know converges and we have

Hence, the convergence of implies the convergence of

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Stumbling Robot

A Fraction of a Dot
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Conclude if the given series converges or diverges and justify the conclusion

Test the following series for convergence or divergence. Justify the decision.

The series converges. We apply the limit ratio test, letting

Then, we know converges and we have

Hence, the convergence of implies the convergence of