- #1
iFargle
- 7
- 0
Homework Statement
Find a power series representation for the function and determine the radius of convergence.
Homework Equations
[tex]f(x)=x^{2}tan^{-1}(x^{3})[/tex]
The Attempt at a Solution
I don't have any idea on how to even start this. First I differentiated [tex]\frac{d}{dx} arctan(x)=\frac{1}{x^2+1}[/tex], thinking I could try and manipulate it to fit a geometric series, but that quickly came to a dead end. I've tried thinking of any relate-able series representations, but all I know so far is the geometric series and natural logarithms.