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I need to find the precise range of the following sum to infinity:

$$\sum_{n=1}^\infty\frac{x^n}{4^nn}$$

Can someone post how to do it because I have no idea, I'm also given that it converges...

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    Do you want the *range* of the function defined by this sum (when it converges), or do you want the interval of convergence? I suspect it is the second.2012-11-21

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