Mathematics, 09.09.2021 20:40 missdee6929

A function f(x) is said to have a jump discontinuity at x=a if: 1. limx→a− f(x) exists.

2. limx→a+ f(x) exists.

3. The left and right limits are not equal.

Let f(x)= {3x-3 if x <10

{4/x+4 if x ≥ 10

Show that f(x) has a jump discontinuity at x=10 by calculating the limits from the left and right at x=10.

lim f(x)=

x->10^-

lim f(x)=

x->10^+

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

1. limx→a− f(x) exists.2. limx→a+

Answers: 2

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A function f(x) is said to have a jump discontinuity at x=a if: 1. limx→a− f(x) exists.