For any rational function with

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

Problem

For any rational function r(x)=p(x)q(x)r(x)=\dfrac{p(x)}{q(x)} with deg⁡p<deg⁡q\deg p<\deg q, what is lim⁡x→∞r(x)\displaystyle\lim_{x\to\infty} r(x)? (a) ∞\infty (b) 00 (c) the ratio of the leading coefficients of pp and qq (d) The limit does not exist

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