# Taylor Series Representation

1. Apr 9, 2013

### Soccerdude

1. The problem statement, all variables and given/known data

Find the Taylor series of f(x) = x2ln(1+2x2) centered at c = 0.

2. Relevant equations

Taylor Series of f(x) = ln(1+x) is Ʃ from n=1 to ∞ of (-1)n-1xn/n

3. The attempt at a solution

I have worked the problem to

(-1)n4nx2n/n

I am not sure where to go from here

Thank You!

2. Apr 9, 2013

### SammyS

Staff Emeritus
Well, you seem to have the right idea for the Taylor series of ln(1+2x2). It's not quite right.

$\displaystyle \left(2x^2\right)^n=2^nx^{2n}\ .$

When you make the correction for that, then just multiply by x2 , to get the Taylor series for x2ln(1+2x2).