Solve Limits Problem: Find Limit as x->infinity

[duki]

Homework Statement

lim as x->infinity $$\frac{5x^3-3x^2+8}{ 2x^3 + 9}$$

Homework Equations

The Attempt at a Solution

I was told you can look at this highest exponent for the num and dem to find the limit, but I'm not sure what that means. In this case would it be 5/2 because the Xs cancel out?

 

[Dick]

Divide top and bottom by x^3. As x->infinity terms like -3/x go to zero. Get rid of them. So yes, you are left with 5/2.

 

[duki]

Ok thanks. It makes sense now.