Binomial Expansion

For what values of x can the function \displaystyle \frac{2x}{\left(x+1\right)\left(x-2\right)} be expanded in powers of \displaystyle \frac{1}{x}?  Find the first three terms in the expansion.

Source: Porter, R.I. (1963). Further Elementary Analysis (2nd ed.). London: G. Bell & Sons. (Examples 16b, Question 20, 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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