The table shows values of a function for several large positive values of

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

Problem

The table shows values of a function

f

for several large positive values of

x

x	50	100	200	500
f(x)	2.96	2.98	2.99	2.998

Based on the data, what is the best estimate of

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

? (a)

2.998

(b) The limit does not exist (c)

3

(d)

2.98