A function f(1) is said to have a jump discontinuity at z= a if. 1. lim f(r) exists. 2. lim f(z) exists. 3. The left and right limits are not equal. Let f(z) = 15 (7z - 6, if z<7 if z 27 Show that f(z) has a jump discontinuity at = 7 by calculating the limits from the left and right at r= 7. lim f(1) = lim f(z) Now, for fun, try to graph f(x).

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(r) is said to have a jump discontinuity at z= a if.
1. lim f(r) exists.
2. lim f(z) exists.
エat
3. The left and right limits are not equal.
Let f(z) =
(7z-6, if z<7
if z 27
Show that f(1) has a jump discontinuity at z= 7 by calculating the limits from the left and right at r = 7.
lim f(1) =
lim f(1)=
zラ74
Now, for fun, try to graph f(r).
Transcribed Image Text:A function f(r) is said to have a jump discontinuity at z= a if. 1. lim f(r) exists. 2. lim f(z) exists. エat 3. The left and right limits are not equal. Let f(z) = (7z-6, if z<7 if z 27 Show that f(1) has a jump discontinuity at z= 7 by calculating the limits from the left and right at r = 7. lim f(1) = lim f(1)= zラ74 Now, for fun, try to graph f(r).
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