Which of the following limits is of indeterminate form as ?

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

Problem

Which of the following limits is of indeterminate form

\dfrac{\infty}{\infty}

x\to\infty

? (a)

\displaystyle\lim_{x\to\infty}\dfrac{e^{-x}}{x^{2}}

(b)

\displaystyle\lim_{x\to 1}\dfrac{x^{2}-1}{x-1}

(c)

\displaystyle\lim_{x\to\infty}\dfrac{\ln x}{\sqrt{x}}

(d)

\displaystyle\lim_{x\to\infty}\dfrac{\arctan x}{\sqrt{x}}