a)Expand f(x) = (x+x^2)/(1-x)^3 as a power series. b)Use part a) to find the sum of the series: sum of (n^2)/(2^n) with n = 1 to infinity. Can someone help me with these? Thanks a lot.
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Originally Posted by xfyz a)Expand f(x) = (x+x^2)/(1-x)^3 as a power series. b)Use part a) to find the sum of the series: sum of (n^2)/(2^n) with n = 1 to infinity. Can someone help me with these? Thanks a lot. Use a Maclaurin series (a Taylor series expanded about 0): etc. So Can you spot the pattern? Can you see how it relates to the sum you are trying to find? -Dan
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