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1. The problem statement, all variables and given/known data

Show (x^3+2x)/(2x+1) < x^2 as x --> infinite

2. Relevant 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.

3. 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.

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# Homework Help: Show (x^3+2x)/(2x+1) < x^2 as x -> infinite

**Physics Forums | Science Articles, Homework Help, Discussion**