- #1
RogerDodgr
- 20
- 0
Show (x^3+2x)/(2x+1) < x^2 as x --> infinite
Show (x^3+2x)/(2x+1) < x^2 as x --> infinite
This is not a formal proof. I just need to reduce the left side of the inequality to the point it is fairly obvious that it is less than x^2 as x-->infinite.
so far I turned it into
(x^3-1)/(2x+1) + 1 but it is still not broken down enough to be obvious. I'm not sure what to do next.
Homework Statement
Show (x^3+2x)/(2x+1) < x^2 as x --> infinite
Homework Equations
This is not a formal proof. I just need to reduce the left side of the inequality to the point it is fairly obvious that it is less than x^2 as x-->infinite.
The Attempt at a Solution
so far I turned it into
(x^3-1)/(2x+1) + 1 but it is still not broken down enough to be obvious. I'm not sure what to do next.