Find the power series representation of the following:
f(x) = e^(sin(x))
I know this to be true:
e^x = (Inf Sum, n=0) (x^n/n!)
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 + ...
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!