1. The problem statement, all variables and given/known data Find the power series of x^3/(e^x-1) and keep terms through x^4 2. Relevant equations Taylor series f(x) ~ f(a) + f '(a)*x + f ''(a)/2!*x^2... 3. The attempt at a solution Taking the first term f(a) around the point 0 shows 0/0 so I discarded that and moved on. But this happens in each of the terms for the series. To try and double check this I punched it into Wolfram Alpha which spit out around x=0: x^2-x^3/2+x^4/12-x^6/720+x^8/30240+O(x^9) I am confused how wolfram alpha obtained this and where I am going wrong. Thank you for your help.