1. The problem statement, all variables and given/known data 2. Relevant equations We just learned basic Taylor Series expansion about C, f(x) = f(C) + f'(C)(x - C) + [f''(C)(x - C)^2]/2 + ... 3. The attempt at a solution Well the previous few questions involved finding the limit of the function and the derivative of the function as X approaches zero.. I thought this would be as simple as plugging in 0 for X in the Taylor Series expansion, but it's clear that the function cannot be evaluated at X = 0. I'm betting it has to do with the previous parts (finding the derivative of the function, etc) but I'm lost as to where to start. Help would be much appreciated! :) EDIT: Also thought about just using the limit as X -> 0 for the value of the function.. but then the whole Taylor Series would just equal zero, and I just felt like this wasn't the right answer? If it is, well.. I feel dumb.