## Use the binomial series to expand the function as a power series. (1 − x)^1/5 state radius of convergence.

Question

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## Answers ( )

Answer:Valid only for |x|<1

Step-by-step explanation:Binomial expansion for rational powers is valid only if

|x|<1

If |x|<1 we have

Same like integral powers except that instead of nCr we write here n(n-1)../r!

and there will be an infinite series

Thus we have