Binomial Expansion

State the necessary conditions for expanding the following function in ascending powers of x, and find the first three terms of the expansion.

    \[\frac{1+x^{2}}{\left(1-x^{2}\right)\left(3+x\right)}\]

Source: Porter, R.I. (1963). Further Elementary Analysis (2nd ed.). London: G. Bell & Sons. (Examples 16b, Question 8, 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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