Hello! I'm stuck on these questions... Can someone help?
First: how would you write f(x) = x / (1 + x3) as a series?
I mean like
Σ = .....
I know that 1/(1-x) =
But how do i convert this into f(x)?
Second: how would you find the radius of convergence of the following binomial series:
Σ (3k k) x2k+1
with (3k k) is like (n k) = n! / k!(n-k)!
I know how to do it when there's xk in the sommation but with x2k+1?
Thanks for the help, I've been spending hours on these two questions!