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A function f(x) is said to have a jump discontinuity at x = a if: 1. lim f(x) exists. f(x) exists. x→a 2. lim z →a+ 3. The left and right limits are not equal. 4x8 if x < 3 3 if x > 3 z+5 Show that f(x) has a jump discontinuity at x = 3 by calculating the limits from the left and right at x = 3. Let f(x) = lim z →3 f(x) = lim I 3+ f(x) = Now for fun, try to graph f(x).

A function f(x) is said to have a jump discontinuity at x = a if: 1. lim f(x) exists. f(x) exists. x→a 2. lim z →a+ 3. The left and right limits are not equal. 4x8 if x < 3 3 if x > 3 z+5 Show that f(x) has a jump discontinuity at x = 3 by calculating the limits from the left and right at x = 3. Let f(x) = lim z →3 f(x) = lim I 3+ f(x) = Now for fun, try to graph f(x).

College Algebra
College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
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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A function f(x) is said to have a jump discontinuity at x = a if: 1. lim f(x) exists. f(x) exists. x→a 2. lim z →a+ 3. The left and right limits are not equal. 4x8 if x < 3 3 if x > 3 z+5 Show that f(x) has a jump discontinuity at x = 3 by calculating the limits from the left and right at x = 3. Let f(x) = lim z →3 f(x) = lim I 3+ f(x) = Now for fun, try to graph f(x).
Transcribed Image Text:A function f(x) is said to have a jump discontinuity at x = a if: 1. lim f(x) exists. f(x) exists. x→a 2. lim z →a+ 3. The left and right limits are not equal. 4x8 if x < 3 3 if x > 3 z+5 Show that f(x) has a jump discontinuity at x = 3 by calculating the limits from the left and right at x = 3. Let f(x) = lim z →3 f(x) = lim I 3+ f(x) = Now for fun, try to graph f(x).
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