The table gives values of for close to

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

Problem

The table gives values of

f(x)

for

x

close to

1

. x 0.70 0.90 0.97 0.99 0.999

f(x)

2.40 2.80 2.94 2.98 2.998 Using the data, what is the best estimate for

\displaystyle\lim_{x\to 1^{-}} f(x)

? (a)

2.998

(b)

3.0

(c)

2.9

(d) The limit does not exist