Find value if limit exist

[gmontalv]

lim
x->Infinity x^2 + 2x - 5
---------------
3x^2 + 2

i have this so far

x^2 + 2x - 5
----- ---- ---
x^2 x^2 x^2
-------------------
3x^2 + 2
------ ---
x^2 x^2

Lim
x-> 2x - 5
--- --
x^2 x^2
-------------
2
---
x^2

I'm not sure where to go from here.

thanks

 

[stapel]

How about doing the long division, getting "(1/3) + (some stuff that goes to zero)"...?

Eliz.

 

[Unco]

lim
x->Infinity    x^2 + 2x - 5
              --------------
                 3x^2 + 2

Divide the top and bottom by the highest power of x present.