question: Use integration in a term by term manner on this series for f(x)=1/(1+x) to find the taylor series for ln(1+x) about x=0 any help would be much appreciated thanks.
Last edited by Jonny-123; May 27th 2009 at 03:33 PM. Reason: mistakes
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Originally Posted by Jonny-123 question: Use integration in a term by term manner on this series for f(x)=1/(1+x) to find the taylor series for ln(1+x) about x=0 any help would be much appreciated thanks. Well lets start by using there hint Note that we will need this later. Now lets take the derivative to get This is a geometric series with so we get Now we integrate to get Since so we have
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