radius of convergence and the interval of convergence for the given power series

radius of convergence and the interval of convergence for the given power series

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\[\sum_{n=1}^{\infty} \frac{ n ^{2}x ^{2n} }{ n! }\]

my radius is 1. And it think the interval is (-1,1)
Can anyone verify if that's right?

what test did you use?

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