If $p(x)$ is a polynomial of degree $10^{2011}$, then:
$$\lim_\limits{x \to \infty} p(x)e^{x} = ?$$
How do I even begin with this? I tried expressing it into a form where L'Hospital rule is applicable, but found that it cannot be expressed as such. Tried taking logarithm but failed there as well. So how do I find its limit. Any advice is appreciated