# Binomial expansion for Maclaurin series

• October 15th 2010, 04:26 PM
jegues
Binomial expansion for Maclaurin series
Use binomial expansion to find the Maclaurin series of the function,

$f(x) = \left( \frac{x^{2}}{1+x^{3}} \right)^{3}$

What is the open interval of convergence? Express your answer in sigma notation and simplify as much as possible.

See figure attached for my attempt at the solution.

If someone could verify my solution that'd be great!
• October 16th 2010, 05:59 AM
HallsofIvy
It looks good to me!