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Limit involving dirac delta distributions

  1. Feb 26, 2012 #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
     
  2. jcsd
  3. Feb 27, 2012 #2
    Sorry I mean to evaulate:
    [tex]
    \lim_{x\to 0^{+}} \frac{\delta'(x)}{\delta''(x)}
    [/tex]
     
  4. Feb 27, 2012 #3
    Try writing the delta function as limit of a Gaussian, for example.
     
  5. Feb 27, 2012 #4

    Hurkyl

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