I need find $\lim\limits_{x\rightarrow\infty}( x^3-x^2)=L$. In this case, I ended up with infinity minus infinity. But I do know $x^3$ is always greater than $x^2$ for $x\ge1$ and the difference between them is growing... Can I say $L$ is infinity? Is there a formal way to prove or show this?
Thanks!