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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).

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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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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