### Home > CALC > Chapter 2 > Lesson 2.2.4 > Problem 2-96

2-96.

Suppose

*f*(*x*) and*g*(*x*) are both discontinuous at*x*= 3. Using the table below, for which of the functions does the limit as*x*approaches 3*appear*to exist? Justify your answer. Homework Help ✎*x*2.8

2.9

2.99

3

3.01

3.1

3.2

*f*(*x*)6.97

6.98

6.99

?

7.01

7.02

7.03

*g*(*x*)6.97

6.98

6.99

?

7.99

7.98

7.97

Limits exist when the limit from the left agrees with the limit from the right AND that limit is finite.