Example involving Binomial Series

Example involving Binomial Series

IB Year 6 | Grade 12

Write down the first three terms of the binomial expansion of \(\frac{1}{(1-x)^2}\) in descending powers of \(x\). State the values of \(x\) for which the expansion is valid.

Solution:

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Answer:\(\frac1{x^2}+\frac2{x^3}+\frac3{x^4}+\cdots\), valid for \(|x|>1\).

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