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Power Series

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Let f(x) = 1 +

(a) For what values of x is f defined?

(b) Find a power series for xf'(x). Justify your answer.

(c) Hence show that:
f(x) = 1 -

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Let f(x) = 1 +

(a) For what values of x is f defined?

Solution. It is not hard to see that the radius of the series is R=1. Note that converges on both ...

Solution Summary

A power series is investigated.

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