
Section 2.3 Limits of Piecewise and Absolute Value Functions
Evaluating the Limit of a Piecewise Function Since x = 4 is where the “break” is in this piecewise function, we have to see if the limit approaches the same number from the left and from the right.
Evaluating the Limit of a Piecewise Function Since the limits are the same, the limit exists and
Evaluating the Limit of a Piecewise Function
Evaluating the Limit of a Piecewise Function
Evaluating the Limit of a Piecewise Function Since the left and righthand limits are not the same, there is a jump discontinuity, so the limit does not exist.
Evaluating the Limit of a Piecewise Function
Evaluating the Limit of an Absolute Value Function
Evaluating the Limit of an Absolute Value Function
Evaluating the Limit of an Absolute Value Function
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