If and are polynomials with degrees and respectively

MATHEMATICS · Single correct · A Level · Mathematics · Algebra and Functions · Algebra and Functions

Problem

P(x)

and

Q(x)

are polynomials with degrees

m

and

n

respectively, what is the value of

\displaystyle\lim_{x\to\infty}\frac{P(x)}{Q(x)}

when

m<n

? (a)

\dfrac{\text{leading coefficient of }P}{\text{leading coefficient of }Q}

(b) 0 (c) 1 (d)

\infty