Word Count : 179

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(i) श्रेणी $\sum_{n=1}^{\infty} n x^{n-1}, \; x>0$ पर विचार करें। यह श्रेणी गुणनफल रूप $\sum_{n=1}^{\infty} n r^{n-1}$ के समान है जहाँ $r = x$। गुणनफल श्रेणी का मान ज्ञात _____ ________ ____ ___ __________ ___ ___ ____ ___ _________ _________.
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