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## Homework Statement

Find the power series representation for s(x) and s`(x)

integral sin (pi t^2)\2

and which of them is valid ?

## Homework Equations

## The Attempt at a Solution

I tried to solve this question , but i am not sure

s`(x) = sin (pi t^2)\2 by Abel's theorm

[tex]\sum\ell^in\theta[/tex]

and it converges

I am not sure about the solution , Is it right ? and what about s(x)

Is it - cos(pi t^2)\2 ??? and how we can find the power series representaion for it?

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