okay, so the question is what is the limit as x-> infinity of (sqrt(x^2+x))-(sqrt(x^2-x))?
I know it is 1, but how do i show work / come to that conclusion?
okay, so the question is what is the limit as x-> infinity of (sqrt(x^2+x))-(sqrt(x^2-x))?
I know it is 1, but how do i show work / come to that conclusion?
A nice trick, probably contrary to what has been beaten into your brain since Algebra I. UNrationalize it!!
In other words, multiply by .
Resolve the numerator and wonderful things should appear. At least there should be somewhere to go with it.