Question

What is the Root Test for Convergence of an Infinite Series?

Answer 1

Root Test

If `lim_{n to infty}root[n]{|a_n|}<1`, then `sum_{n=1}^inftya_n` converges.
If `lim_{n to infty}root[n]{|a_n|}>1`, then `sum_{n=1}^inftya_n` diverges.
If `lim_{n to infty}root[n]{|a_n|}=1`, then it is inconclusive.

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