Question: A function f(x) is said to have a jump discontinuity at x = a if: 1. lim f(x) exists. xa 2. lim f(x) exists.

A function f(x) is said to have a jump discontinuity at x

A function f(x) is said to have a jump discontinuity at x = a if: 1. lim f(x) exists. xa 2. lim f(x) exists. x-a 3. The left and right limits are not equal. Let f(x) 4x1, 3 x +9 = if x < 4 if x 4 Show that f(x) has a jump discontinuity at x = 4 by calculating the limits from the left and right at x = 4. lim f(x) z-4- lim f(x) Now for fun, try to graph f(x). Note: You can earn partial credit on this problem.

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