Let and with

MATHEMATICS · Subjective · AP · Calculus AB · Limits and Continuity · Limits and Continuity

Problem

Let

P(x)=a_m x^m+\dots

and

Q(x)=b_n x^n+\dots

with

a_m,b_n\neq 0

. State the relation between

m

and

n

that ensures

\displaystyle\lim_{x\to\infty}\frac{P(x)}{Q(x)}=0