1. ## maclaurin series..

Hi all,

How can I show that the maclaurin series of f:R->R defined by f(x) = ln(1+e^x) begins
ln2 +(x/2)+(x^2/8)-(x^4/182)

thanks.

2. ## Re: maclaurin series..

Originally Posted by Oiler
Hi all,

How can I show that the maclaurin series of f:R->R defined by f(x) = ln(1+e^x) begins
ln2 +(x/2)+(x^2/8)-(x^4/182)

thanks.
You Should know that the Maclaurin Series is given by

$f(x)=f(0)+\dfrac{f'(0)}{1!}x+\dfrac{f''(0)}{2!}x^2 +\dfrac{f'''(0)}{3!}x^3 +\dfrac{f^{(4)}(0)}{4!}x^4+...$

Just do the calclulations