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## Homework Statement

The series

## Homework Equations

## The Attempt at a Solution

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Using the quotient test (or radio test), ##|\frac{a_{n+1}}{a_{n}}| \rightarrow |x^2*\sin(\frac{\pi \cdot x}{2})|, n \rightarrow \infty##.

However from here I'm stuck, as there seems to be no way for me to determine a radius of convergence. Furthermore even if I could find the radius, the book we are using talks about Weierstrass M-test, and several other methods of figuring out IF a sum is uniformly convergent, but none of these methods seem to yield and actual interval. Please assist.

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