The graph of a function has an open circle at and another open circle at

MATHEMATICS · Subjective · AP · Calculus AB · Limits and Continuity · Limits and Continuity

Problem

The graph of a function

g

has an open circle at

(1,4)

and another open circle at

(1,6)

. As

x

approaches

1

from the left,

g(x)

approaches

4

, and as

x

approaches

1

from the right,

g(x)

approaches

6

. Explain whether

\displaystyle \lim_{x\to 1} g(x)

exists and give its value if it does.