Linearize the system operator illustrated below by applying a Taylor series expansion.
f(t) ----> e^f(t) -----> g(t)
I only find the general form of a taylor series relevant.
g(x)= sum (0,infinity) of [f^n*(a)*(x-a)^n]/n!
The system is centered at 0, so a=0.
The Attempt at a Solution
My question is that I'm not sure if I'm looking into the problem too closely, but is it just asking to find the taylor expansion of e^x? I know in that case the answer should be
g(t)= sum(0,infinity) t^n/n!