AP

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

Problem

Evaluate

\displaystyle\lim_{x\to\infty}\Bigl(\bigl(1+\tfrac{3}{x}\bigr)^{x}-\bigl(1+\tfrac{1}{x}\bigr)^{x}\Bigr)

. (a)

e^{2}

(b)

e^{3}-e

(c)

0

(d)

e^{3}-1