Consider the limit _ x (k-3)x^ 4 +2x^ 2 (k+1)x^ 4 -5x^ 3

MATHEMATICS · Single correct · AP · Calculus AB · Limits and Continuity · Limits and Continuity

Problem

Consider the limit

\lim_{x\to\infty}\frac{(k-3)x^{4}+2x^{2}}{(k+1)x^{4}-5x^{3}}.

For which value of

k

does the limit exist and equal

0

? (a)

k=-1

(b)

k=3

(c)

k=-2

(d)

k=0