Continuity of abs(f)

  • Thread starter sean/mac
  • Start date
  • #1
8
0
Give an example of a function f which is discontinuous at 0 yet abs(f ) is continuous at 0

i have tried for an hour or so trying to think of one, even hints would be helpful
 

Answers and Replies

  • #2
nicksauce
Science Advisor
Homework Helper
1,272
5
I can think of a very trivial example... sort of like a step function.
 

Related Threads on Continuity of abs(f)

Replies
1
Views
998
Replies
1
Views
2K
  • Last Post
Replies
6
Views
2K
Replies
6
Views
1K
Replies
7
Views
2K
  • Last Post
Replies
8
Views
30K
  • Last Post
Replies
2
Views
1K
Replies
2
Views
805
  • Last Post
Replies
2
Views
865
  • Last Post
Replies
1
Views
842
Top