Homework Help is Here – Start Your Trial Now!
Math
Advanced Math
2. Recall that the characteristic function of a set E is defined as I is in E 1, Xe(z) = { 0, z is not in E Let E be the set of rational numbers in [0,1]. Show that Xe is not continuous on E. Hint: Assume it is and Use the IVT to get a contradiction.

2. Recall that the characteristic function of a set E is defined as I is in E 1, Xe(z) = { 0, z is not in E Let E be the set of rational numbers in [0,1]. Show that Xe is not continuous on E. Hint: Assume it is and Use the IVT to get a contradiction.

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.5: Graphs Of Functions
Problem 55E
See similar textbooks
icon
Related questions
Question

#2. Thanks. 11.2 

2. Recall that the characteristic function of a set E is defined as r is in E 1, Xe(1) = { 0, z is not in E Let E be the set of rational numbers in [0, 1]. Show that Xe is not continuous on E. Hint: Assume it is and Use the IVT to get a contradiction.
Transcribed Image Text:2. Recall that the characteristic function of a set E is defined as r is in E 1, Xe(1) = { 0, z is not in E Let E be the set of rational numbers in [0, 1]. Show that Xe is not continuous on E. Hint: Assume it is and Use the IVT to get a contradiction.
Expert Solution
steps

Step by step

Solved in 2 steps with 2 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer