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  Explain the concepts first, and then step by step explanations for all parts with clear presentation, thank you

Business Mar 24, 2022

 

Explain the concepts first, and then step by step explanations for all parts with clear presentation, thank you.

 

We can use power series to define functions. Thus, for example, we can try to

?

define the function f via

but the definition of 2' only makes sense when the series converges. Find the radius of convergence and
interval of convergence for this power series. Write down also the sum of the series for X inside the radius of
convergence.

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