- #1
thrillhouse86
- 80
- 0
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
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