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.
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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 $\displaystyle 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
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