(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Linearize the system operator illustrated below by applying a Taylor series expansion.

f(t) ----> e^f(t) -----> g(t)

2. Relevant equations

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.

3. 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!

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# Linearizing a system using a taylor expansion

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