Find all real numbers such that the series

converges.

We have

We know conveges; therefore, the product converges if and only if the geometric series converges. For this we must have

for .

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Stumbling Robot

A Fraction of a Dot
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Find all real *x* such that the series *(2*^{n} sin^{n}x) / n^{2} converges

Find all real numbers such that the series

converges.

We have

We know conveges; therefore, the product converges if and only if the geometric series converges. For this we must have

for .