1. ## 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

2. Yes

3. but

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

the first term $f(a)$ is $ln(0)$ which is undefined

4. Then try centering the series on something other than 0.