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## Homework Statement

Find the power series representation of the following:

f(x) = e^(sin(x))

## Homework Equations

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 + ...

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!