### Home > CALC > Chapter 2 > Lesson 2.2.4 > Problem2-96

2-96.
1. 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 f(x) g(x) 2.8 2.9 2.99 3 3.01 3.1 3.2 6.97 6.98 6.99 ? 7.01 7.02 7.03 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.