```Date: Feb 2, 2012 1:48 PM
Author: ganesh
Subject: Re: Integration of O() terms of the Taylor series

Apologies for the display of some of the variables in the equation.Reposting it.Hello,I have two functions say f1(?) and f2(?) as follows:f1(?)=1/(a?^2) + 1/(b?) + O(1) ... (1)andf2(?)= c+d?+O(?^2) ... (2)where ? = ?-? and a,b,c,d and ? are constants. Eq. (1) and (2) aretheTaylor series expansions of f1(?) and f2(?) about ? respectively. Ineed to integrate f1(?) and f2(?) with respect to ? (-1,1).Integration is straight forward for all the terms except O(1) andO(?^2) in (1) and (2) respectively. How do I proceed here tointegratethe O() terms? If anyone can guide me on this it will be extremelyhelpful. Many thanks for the help.Regards,N.On Feb 2, 6:42 pm, GD <gcdi...@gmail.com> wrote:> Hello,>> I have two functions say f1(â) and f2(â) as follows:>> f1(â)=1/(aä^2) + 1/(bä) + O(1) ... (1)>> and>> f2(â)= c+dä+O(ä^2) ... (2)>> where ä = â-ç and a,b,c,d and ç are constants. Eq. (1) and (2) are the> Taylor series expansions of f1(â) and f2(â) about ç respectively. I> need to integrate f1(â) and f2(â) with respect to â (-1,1).> Integration is straight forward for all the terms except O(1) and> O(ä^2) in (1) and (2) respectively. How do I proceed here to integrate> the O() terms? If anyone can guide me on this it will be extremely> helpful. Many thanks for the help.> Regards,> N.
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