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please solve those questions step by step and if you are handwriting then please write the letters clearly. Thank you so much.
1. Dirac delta function (4 points (hand-in)] In the lecture the Dirac delta function (2) 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 +00. a) &n(x) = n(1 – n\v) @ 67 – 131) n b) On (3) n -e -nz2 TT Hint: You may use that the Gaussian integral yields Le-a="dir : dc Va