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In the lecture the Dirac delta function 8(x) was discussed as an extremely peaked Lorentz curve. As an alternative, show that we can use the following sequences of functions as a representation of the Dirac delta function in the limit n→∞ . a) dn(x) = n(1 − n|x|) 0 (1 − |~|) -

In the lecture the Dirac delta function 8(x) was discussed as an extremely peaked Lorentz curve. As an alternative, show that we can use the following sequences of functions as a representation of the Dirac delta function in the limit n→∞ . a) dn(x) = n(1 − n|x|) 0 (1 − |~|) -

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In the lecture the Dirac delta function 8(x) was discussed as an extremely peaked Lorentz curve. As an alternative, show that we can use the following sequences of functions as a representation of the Dirac delta function in the limit n → ∞ . a) dn(x) = n(1 − n|x|) ©( 1⁄2 − |~|) n
Transcribed Image Text:In the lecture the Dirac delta function 8(x) was discussed as an extremely peaked Lorentz curve. As an alternative, show that we can use the following sequences of functions as a representation of the Dirac delta function in the limit n → ∞ . a) dn(x) = n(1 − n|x|) ©( 1⁄2 − |~|) n
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