# taylor approximation

• Aug 14th 2009, 05:48 AM
chogo
taylor approximation
Hi

i am sorry if this is a stupid question but

is there a taylor approximation to the function

f = $ln(1-e^{-x})$

thanks
• Aug 14th 2009, 06:15 AM
Twig
Yes
• Aug 14th 2009, 06:24 AM
chogo
but

$ln(1-e^{-x}) = f(a) + f'(a)(x-a) +.....$

the first term $f(a)$ is $ln(0)$ which is undefined
• Aug 14th 2009, 07:15 AM
justchillin
Then try centering the series on something other than 0.