1. The problem statement, all variables and given/known data Write the Machlaurin series for : f(x) = (2x)/(1+x2) 2. Relevant equations 3. The attempt at a solution I tried finding all the derivatives (aka f(x), f'(x), f''(x), etc..) but the equations started getting longer and longer and would always result in 0 when x=0. This was on a final exam last year, and I don't think they would have made students do long computations like that Also, I tried just finding the derivatives for (1-x)-1, but again, I ended up with a bunch of zeros Help?