Let L(k)= _ x 5x^ k +1 2x^ 4 -3

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

Problem

Let

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

Identify the greatest integer value of

k

for which

L(k)=0

. (a)

k=2

(b)

k=4

(c)

k=3

(d)

k=5