Hi

i am sorry if this is a stupid question but

is there a taylor approximation to the function

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

thanks

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- Aug 14th 2009, 04:48 AMchogotaylor approximation
Hi

i am sorry if this is a stupid question but

is there a taylor approximation to the function

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

thanks - Aug 14th 2009, 05:15 AMTwig
Yes

- Aug 14th 2009, 05:24 AMchogo
but

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

the first term $\displaystyle f(a)$ is $\displaystyle ln(0)$ which is undefined - Aug 14th 2009, 06:15 AMjustchillin
Then try centering the series on something other than 0.