1.
Let \(P\) and \(Q\) be polynomials.
Find \(\displaystyle \lim_{x \to \infty} \frac{P(x)}{Q(x)}\)
if the degree of \(P\) is (a) less than the degree of \(Q\text{,}\) and (b) greater than the degree of \(Q\text{.}\) If the answer is infinite, enter "I" below.
(a)
(b)