Limit involving dirac delta distributions

[thrillhouse86]

Hey All,

I am trying to evaluate the limit:
<br /> \lim_{x\to 0^{+}} \frac{\delta&#039;&#039;(x)}{\delta&#039;&#039;(x)}<br />

Where \delta&#039;(x) is the first derivative of the dirac distribution and \delta&#039;&#039;(x) 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

 

[thrillhouse86]

Sorry I mean to evaulate:
<br /> \lim_{x\to 0^{+}} \frac{\delta&#039;(x)}{\delta&#039;&#039;(x)}<br />

 

[M Quack]

Try writing the delta function as limit of a Gaussian, for example.

 

[Hurkyl]

Where did this limit come from? I don't believe it even makes sense...