Let be a real constant

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

Problem

Let

k

be a real constant. Examine the limit

L=\lim_{x\to\infty}\frac{4x^{3}+6x+k}{2x^{3}-5}.

(a) Determine the condition on

k

for which the limit

L

exists and is finite. (b) For the value(s) of

k

found in part (a), evaluate

L