A function f(x) is said to have a jump discontinuity at х — аif: 1. lim f(x) exists. x → a 2. lim f(x) exists. + 3. The left and right limits are not equal. | 7x 3 if x < 3 - Let f(x) 1 if x > 3 x+4 Show that f(x) has a jump discontinuity at x = 3 by calculating the limits from the left and right at x = 3. lim f(x) x →3- lim f(x) x →3+
A function f(x) is said to have a jump discontinuity at х — аif: 1. lim f(x) exists. x → a 2. lim f(x) exists. + 3. The left and right limits are not equal. | 7x 3 if x < 3 - Let f(x) 1 if x > 3 x+4 Show that f(x) has a jump discontinuity at x = 3 by calculating the limits from the left and right at x = 3. lim f(x) x →3- lim f(x) x →3+
Chapter3: Functions
Section3.3: Rates Of Change And Behavior Of Graphs
Problem 2SE: If a functionfis increasing on (a,b) and decreasing on (b,c) , then what can be said about the local...
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Transcribed Image Text:A function f(x) is said to have a jump discontinuity at
x = a if:
1. lim
f(x) exists.
x → a
2. lim
f(x) exists.
3. The left and right limits are not equal.
7x
- 3 if x < 3
Let f(x)
1
if x > 3
x+4
Show that f(x) has a jump discontinuity at x = 3 by
calculating the limits from the left and right at x = 3.
lim
f(x)
x →3-
lim
f(æ) =
x →3+
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