A function f(1) is said to have a jump discontinuity at z = a if: 1. lim f(x) exists. 2. lim f(x) exists. 3. The left and right limits are not equal. 5x 8 if. T<7 Let f(a) 1 if a 7 I+9 Show that f(x) has a jump discontinuity at r = 7 by calculating the limits from the left and right at 7. lim f(r) = I7 lim f(r) = I7*

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.6: Quadratic Functions
Problem 57E
icon
Related questions
Question
Show that f(x) has a jump discontinuity at x = 7 by calculating the limits from the left and right at x = 7.
A function f(1) is said to have a jump discontinuity at x = a if:
1. lim
f() exists.
2. lim
f(1) exists.
3. The left and right limits are not equal.
5x 8 if. r < 7
Let f(a)
1
if z 7
I+9
Show that f(r) has a jump discontinuity at r = 7 by calculating the limits from the left and right at
7.
lim
f(x) -
I 7
lim
f(r) =
I+7*
Transcribed Image Text:A function f(1) is said to have a jump discontinuity at x = a if: 1. lim f() exists. 2. lim f(1) exists. 3. The left and right limits are not equal. 5x 8 if. r < 7 Let f(a) 1 if z 7 I+9 Show that f(r) has a jump discontinuity at r = 7 by calculating the limits from the left and right at 7. lim f(x) - I 7 lim f(r) = I+7*
Expert Solution
steps

Step by step

Solved in 2 steps

Blurred answer
Recommended textbooks for you
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Glencoe Algebra 1, Student Edition, 9780079039897…
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
College Algebra
College Algebra
Algebra
ISBN:
9781305115545
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
Algebra: Structure And Method, Book 1
Algebra: Structure And Method, Book 1
Algebra
ISBN:
9780395977224
Author:
Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:
McDougal Littell