Limit involving dirac delta distributions

  • #1
Hey All,

I am trying to evaluate the limit:
[tex]
\lim_{x\to 0^{+}} \frac{\delta''(x)}{\delta''(x)}
[/tex]

Where [tex] \delta'(x) [/tex] is the first derivative of the dirac distribution and [tex] \delta''(x) [/tex] is the second derivative of the dirac distribution.

I thought about the fact that this expression will be infinity / infinity and then using L'Hospitals but that doesn't help.

I guess my question (as someone with an engineering / physics background and not a mathematician) is this limit impossible to evaulate ? and if so is it impossible because taking the limiting value of a dirac distribution doesn't make a whole lot of sense ?

Thanks
 

Answers and Replies

  • #2
Sorry I mean to evaulate:
[tex]
\lim_{x\to 0^{+}} \frac{\delta'(x)}{\delta''(x)}
[/tex]
 
  • #3
898
67
Try writing the delta function as limit of a Gaussian, for example.
 
  • #4
Hurkyl
Staff Emeritus
Science Advisor
Gold Member
14,950
19
Where did this limit come from? I don't believe it even makes sense....
 

Related Threads on Limit involving dirac delta distributions

  • Last Post
Replies
11
Views
25K
  • Last Post
Replies
5
Views
4K
  • Last Post
Replies
4
Views
6K
Replies
12
Views
13K
Replies
3
Views
2K
  • Last Post
Replies
6
Views
2K
  • Last Post
Replies
5
Views
2K
  • Last Post
Replies
3
Views
4K
  • Last Post
Replies
3
Views
10K
  • Last Post
Replies
2
Views
1K
Top