I need help solving this one guys:
How can I show that the limit exists and prove it?
ok so now my strategy is to use the squeeze theorem to show that the function goes to -1 as x goes to .
As you suggested, x/|x| goes to -1. My problem now is finding something smaller than which also goes to -1 as x goes to
Is this even the right strategy to take? Im a little lost.
well Im trying to use the squeeze theorem, but I cant find a function smaller than x/(|x|sqrt(1+1/x^2))) which goes to -1 as x goes to -inf.
So I havent actually shown that x/(|x|sqrt(1+1/x^2))) goes to -1 yet!
I dont quite see how showing 1/x^2 going to 0 would be an effective approach, could you elaborate? Thanks for thehelp