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Factor out a negative power before expanding

Expand (2+1/x)−2(2+1/x)^{-2} in ascending powers of xx, up to and including x5x^5. State the range of xx for which the expansion is valid.

[2009/YJC/I/2]

CJC · Discussion · Question 4

Factor 1/x out of the bracket before using the binomial expansion.

Read the worked solution