1. The problem statement, all variables and given/known data Find the power series representation of the following: f(x) = e^(sin(x)) 2. Relevant equations I know this to be true: e^x = (Inf Sum, n=0) (x^n/n!) 3. The attempt at a solution So, in substituting sin(x) for x, I get: e^(sin(x)) = 1 + sin(x)/1 + sin(x)/2 + sin(x)/6 + ... or e^(sin(x)) = (Inf Sum, n=0) ((sin(x))^n/n!) Not sure where I'm going wrong here, so a nudge in the right direction would be greatly appreciated. Thanks in advance!