2.3: Limits of Piecewise and Absolute Value Functions

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Slide 1

Section 2.3 Limits of Piecewise and Absolute Value Functions

Slide 2

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.

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Evaluating the Limit of a Piecewise Function Since the limits are the same, the limit exists and

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Evaluating the Limit of a Piecewise Function

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Evaluating the Limit of a Piecewise Function

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Evaluating the Limit of a Piecewise Function Since the left- and right-hand limits are not the same, there is a jump discontinuity, so the limit does not exist.

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Evaluating the Limit of a Piecewise Function

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Evaluating the Limit of an Absolute Value Function

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Evaluating the Limit of an Absolute Value Function

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Evaluating the Limit of an Absolute Value Function

Tags: calculus limits piecewise absolute value

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