I've just encountered the infinite series ## \sum_{n=0}^\infty n e^{-n\lambda} ##. I know that in general its not possible to evaluate an infinite series but because wolframalpha.com could evaluate it(which gave the result ## \frac{e^{\lambda}}{(e^\lambda-1)^2} ##), it seems to me that this one has can be solved by a method that I can learn. So I wanna learn it. Any ideas how to do it?(adsbygoogle = window.adsbygoogle || []).push({});

Thanks

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# Infinite exponential series

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