Find the power series representation for s(x) and s`(x)
integral sin (pi t^2)\2
and which of them is valid ?
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
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?