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Topic:
Integration of O() terms of the Taylor series
Replies:
2
Last Post:
Feb 3, 2012 9:45 AM



ganesh
Posts:
37
Registered:
2/15/06


Re: Integration of O() terms of the Taylor series
Posted:
Feb 2, 2012 1:48 PM


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)
and
f2(?)= c+d?+O(?^2) ... (2)
where ? = ?? and a,b,c,d and ? are constants. Eq. (1) and (2) are the Taylor series expansions of f1(?) and f2(?) about ? respectively. I need to integrate f1(?) and f2(?) with respect to ? (1,1). Integration is straight forward for all the terms except O(1) and O(?^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.
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 = âç 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.



