How do you find the power series for #f(x)=int e^(t^3)# from [0,x] and determine its radius of convergence?
1 Answer
Jan 9, 2017
Explanation:
Let's start with the MacLaurin expansion of
and substitute
This series converges absolutely in all
We can then integrate term by term and obtain a series with the same radius of convergence:
Finally: