Science

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1. 
   james0tucson

   The answer is Zero, but I suspect you knew that before you posed the question.  

   We can simplify this problem without resorting to calculus.  Recall that

   lim x->infty(f(x) + g(x)) = lim x->infty(f(x)) + lim x->infty(g(x))

   Now it is easy to see that sqrt(x^2+5) approaches infinity with x, and so does sqrt(x^2+3).  Since the limits are equal, the difference of the limits is zero.

   Sources:

   http://web.mit.edu/wwmath/calculus/summary.html

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   Posted by james0tucson on Tuesday October 21, 2008 at 5:48 PM
   
   

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