Determine the convergence, both pointwise and uniform, on [1/2, 8] for the series $\displaystyle \Sigma (0 to infinty) \displaystyle \frac{(-1)^nx^{2/n}}{n+x}$
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Is this your series? $\displaystyle \displaystyle \sum_{n = 0}^{\infty}{\frac{(-1)^nx^{\frac{2}{n}}}{n+x}}$?
Originally Posted by Prove It Is this your series? $\displaystyle \displaystyle \sum_{n = 0}^{\infty}{\frac{(-1)^nx^{\frac{2}{n}}}{n+x}}$? yes, thank you~
What convergence tests have you tried? The ratio test might be a good place to start...
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