1. ## determine the convergence

Determine the convergence, both pointwise and uniform, on [1/2, 8] for the series

$\Sigma (0 to infinty) \displaystyle \frac{(-1)^nx^{2/n}}{n+x}$

$\displaystyle \sum_{n = 0}^{\infty}{\frac{(-1)^nx^{\frac{2}{n}}}{n+x}}$?
$\displaystyle \sum_{n = 0}^{\infty}{\frac{(-1)^nx^{\frac{2}{n}}}{n+x}}$?