Find the radius of convergence of the power series \sum_{n=1}^\infty \frac{x^n}{\root 9 \of n}
1 answer:
Assuming "root 9 of n" is supposed to mean "the ninth root of n", that is
we can use the ratio test, which says the series converges whenever
We have
which means the radius of convergence for this power series is 1.
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