MHB What Happens to the Limit of $|x|^2$ as $n$ Approaches Infinity?

[tmt1]

I have

$$\lim_{{n}\to{\infty}} \frac{|x|^2}{(2n + 3)(2n + 2)}$$

I can see that for smaller values of $x$ the limit is 0, but what if $x$ equals infinity, wouldn't that be an indeterminate form?

 

[Evgeny.Makarov]

If $x$ and $n$ is the same variable, then use the fact that the limit of the ratio of two polynomials of the same degree when the argument tends to +infinity equals the ratio of their leading coefficients.