A function satisfies the following observations: • As approaches from values less than

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

Problem

A function

g

satisfies the following observations: • As

x

approaches

5

from values less than

5

g(x)

approaches

7

. • As

x

approaches

5

from values greater than

5

g(x)

approaches

4

. Which statement is most strongly supported by these observations? (a)

\displaystyle \lim_{x\to5} g(x)=7

(b)

\displaystyle \lim_{x\to5} g(x)

does not exist because the left- and right-hand limits are different (c)

\displaystyle \lim_{x\to5} g(x)=4

(d)

\displaystyle \lim_{x\to5} g(x)=5