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

I understand the whole concept of Taylor Series and Maclaurin series but I don't know how to rewrite them in sigma notation.

I'll use this generic example. Find the Maclaurin series of the function [tex]\ f(x)=e^{x}[/tex]

2. Relevant equations

3. The attempt at a solution

[tex]\ e^{x}+\frac{1}{1!}(x-0)+\frac{1}{2!}(x-0)^{2}+\frac{1}{3!}(x-0)^{3}\cdot\cdot\cdot[/tex]

I know the answer is [tex]\sum^{\infty}_{n=0} \frac{x^{n}}{n!}[/tex] but I don't know how to get it from the expanded form.

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# Homework Help: Taylor Series Rewriting

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