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^+
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.
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