Mathematics

Problem

The function

g

is graphed in the

xy

-plane. At

x=3

the graph shows an open circle at

(3,5)

and a filled dot at

(3,2)

. As

x

approaches

3

from either side, the

y

-values of the graph approach

5

. Which of the following is the value of

\displaystyle\lim_{x\to3}g(x)

? a)

2

b) The limit does not exist because

g

is undefined at

x=3

. c)

5

d) The limit does not exist because the left- and right-hand limits are different.