So in essence, I would write the terms of the series ∑ (4^n)(x^2n) and multiply each term by x? Alright, is there no way of writing the series so that there is no x variable outside of the summation?
Homework Statement
Use a known Maclaurin series to compute the Maclaurin series for the function: f(x) = x/(1-4(x^2))Homework Equations
1/(1-x) = ∑x^nThe Attempt at a Solution
I tried removing x from the numerator for: x ∑ 1/(1-4(x^2)), which would end up through substitution as x ∑...