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Problem 5 Show that the integral I given by I [ 8 (x) dx = 2 a < 0 < b is not well-defined.

Problem 5 Show that the integral I given by I [ 8 (x) dx = 2 a < 0 < b is not well-defined. Hint: Use the definition of the Dirac-delta function 8(x) and construct a se- quence of integrals In converging to I.

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