Calculus: Jump Discontinuity

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Calculus: Jump Discontinuity

Jump to Connections

Fatemeh Yarahmadi

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42 Views • Sep 7, 2023 • Click to toggle off description

At x = 1, f (x) has a jump discontinuity because the one-sided limits exist but are not equal:

Furthermore, the right-hand limit equals the function value f (1) = 9, so f (x) is right-continuous at x = 1.
The left- and right-hand limits exist and are equal to f (2), so f (x) is continuous at x = 2.

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