The table gives values of for selected large values of

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

Problem

The table gives values of

q(x)=\dfrac{e^{0.2x}}{x^{3}}

for selected large values of

x

. x | 5 | 10 | 15 | 20 --|----|----|----|---- q(x) | 1.64 | 14.78 | 134.2 | 1220.4 Which statement about

\displaystyle \lim_{x\to\infty} q(x)

is most strongly supported by the data? (a)

\displaystyle \lim_{x\to\infty} q(x)=0

(b)

\displaystyle \lim_{x\to\infty} q(x)=\infty

(c)

\displaystyle \lim_{x\to\infty} q(x)

equals a finite, non-zero constant (d)

\displaystyle \lim_{x\to\infty} q(x)

does not exist because the expression is of the indeterminate form

\frac{\infty}{\infty}