(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!

**Physics Forums | Science Articles, Homework Help, Discussion**

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Homework Help: Linearizing a system using a taylor expansion

**Physics Forums | Science Articles, Homework Help, Discussion**