Infinitely differentiable

  • Thread starter Ratzinger
  • Start date
  • #1
Ratzinger
287
0
infinitely differentiable doesn't care if all the higher derivatives are zeroes (like for polynomials), it only has to be defined...correct?
 

Answers and Replies

  • #2
AKG
Science Advisor
Homework Helper
2,566
4
Correct...
 
  • #3
Hurkyl
Staff Emeritus
Science Advisor
Gold Member
14,967
19
It's okay for them to all be zero as well!

such as for

[tex]
f(x) = \left\{
\begin{array}{ll}
0 & x = 0 \\
e^{-1/x^2} \quad & x \neq 0
\end{array}
[/tex]

at x = 0.
 

Suggested for: Infinitely differentiable

Replies
1
Views
165
Replies
3
Views
878
Replies
3
Views
425
  • Last Post
Replies
5
Views
781
Replies
9
Views
565
Replies
14
Views
148
  • Last Post
Replies
1
Views
472
  • Last Post
Replies
3
Views
1K
Replies
5
Views
110
Replies
46
Views
2K
Top