(All Steps) By manipulating the series ∑limits_n=0^∞ x^n=(1)/(1-x) for |x|<1, determine the power series for


Question: By manipulating the series \(\sum\limits_{n=0}^{\infty }{{{x}^{n}}}=\frac{1}{1-x}\) for \(|x|<1\), determine the power series for \(\frac{x}{2+3x}\)

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