Find the first few terms of the Taylor Series around x=0...?(adsbygoogle = window.adsbygoogle || []).push({});

of the function

f(x)= {x/(e^x - 1) , x =/ 0}

{1 , x=0}

the function is piecewise.

up to and including the term involving x^2

It says to not compute derivatives of f but to use the formula for the Taylor series of e^x

x/(e^x-1) = x (1/(e^x-1)

so.

would that be x (1/ [tex]\sum[/tex](x^{n}/n!) - 1)

or maybe x [tex]\sum[/tex] (1 / (x^{n}/n!) - 1))

I'm not really sure where to start

1. The problem statement, all variables and given/known data

2. Relevant equations

3. The attempt at a solution

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# Homework Help: Maclaurin Series Help

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