- #1
DjDriftX
- 2
- 0
Find the first few terms of the Taylor Series around x=0...?
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](xn/n!) - 1)
or maybe x [tex]\sum[/tex] (1 / (xn/n!) - 1))
I'm not really sure where to start
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](xn/n!) - 1)
or maybe x [tex]\sum[/tex] (1 / (xn/n!) - 1))
I'm not really sure where to start