Re: An exact 1-D limit challenge - 1
From: Vladimir Bondarenko (vb_at_cybertester.com)
Date: 02/23/05
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Date: 23 Feb 2005 13:23:58 -0800
Much thanks for your instructive solution presented generously
in all details. This is like a dynamic whodunit keeping the
reader in suspense!
Personally, I find your subtraction insight to be an amazing
artistic move, something like a checkmate.
GAE> The first term is asymptotic to x; if this is to converge,
GAE> the integral also must be asymptotic to x. So add and
GAE> subtract x:
GAE>> (x^2+1)^(1/2)-x-Int(((2+s^2)^(1/2)-(1+s^2)^(1/2))/(1+s^2)^
GAE>> (1/2), s = 0..x);
!
With the deepest respect to you computational flair,
Vladimir Bondarenko
http://www.cybertester.com/
http://maple.bug-list.org/
http://www.CAS-testing.org/
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