Homework Help: calculus

Posted by Lisa on Friday, May 23, 2008 at 4:09pm.

Find lim (with x→∞ under it) (x^2-1)/x or state that the limit does not exist.

I'm so lost with what to do with limits...I tried to simplify the expression to lim x+lim -1/x, but from there I'm pretty dumbfounded.
If anybody could help me out I'd really appreciate it.

calculus - Lisa, Friday, May 23, 2008 at 4:10pm
I guess symbols do not post, but it is just lim with (x->infinity) underneath
calculus - Damon, Friday, May 23, 2008 at 4:18pm
You are looking for the limit of

x^2 -1
-------
x

as x ---> oo

well when x is very large the numerator is x^2 and the one does not amount to a hill of beans so what you really have is

x^2
---
x

which is of course x
which goes to infinity as x goes to infinity

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