I need to find the power series representation for f(x)= x/(1-2x). I cant seem to figure it out!Any help would be great
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Originally Posted by NotaWiz I need to find the power series representation for f(x)= x/(1-2x). I cant seem to figure it out!Any help would be great recall that $\displaystyle \frac 1{1 - x} = \sum_0^{\infty} x^n$ for $\displaystyle |x|< 1$ thus, $\displaystyle \frac x{1 - 2x} = \sum_0^{\infty} x \cdot (2x)^n$ for $\displaystyle |x| < \frac 12$ now simplify
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