Binomial Expansion

Express \displaystyle \frac{2x^{3}}{(1+x^{2})(1-x)^{2}} in partial fractions and obtain its expansion as a power series in x as far as the term involving x^{5}.

Source: Porter, R.I. (1963). Further Elementary Analysis (2nd ed.). London: G. Bell & Sons. (Miscellaneous Examples, Question 18, p. 222)

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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