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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

    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.