Binomial Expansion

Find the coefficient of x^{2n+1} in the expansion of \displaystyle \frac{1}{\left(1-2x\right)\left(1+x^{2}\right)}?  For what range of values of x is the expansion valid?

Source: Porter, R.I. (1963). Further Elementary Analysis (2nd ed.). London: G. Bell & Sons. (Examples 16b, Question 18, p. 218)

Author: ascklee

Dr. Lee teaches at the Wee Kim Wee School of Communication and Information at the Nanyang Technological University in Singapore. He founded The Mathematics Digital Library in 2013.

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