= Ae-**/b* show that, if A is chosen properly, Consider the function 4 (x) 4(x) behaves like a Dirac Delta when b → 0.

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Consider the function A (x) = Ae-**/b* Show that, if A is chosen properly,
A(x) behaves like a Dirac Delta when b → 0.
Transcribed Image Text:Consider the function A (x) = Ae-**/b* Show that, if A is chosen properly, A(x) behaves like a Dirac Delta when b → 0.
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Step 1

Given:

The function is (x)=Ae-x2b2.

Introduction:

As a distribution, the Dirac delta function is a linear functional that maps every function to its value at zero. The Kronecker delta function, which is usually defined on a discrete domain and takes values 0 and 1, is a discrete analog of the Dirac delta function. 

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