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

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Posts: 37
Registered: 2/15/06
Integration of O() terms of the Taylor series
Posted: Feb 2, 2012 1:42 PM
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I have two functions say f1(?) and f2(?) as follows:

f1(?)=1/(a?^2) + 1/(b?) + O(1) ... (1)


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.

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