A Cauchy random variable has a PDF (a) Find the characteristic function, X() . (b) Show that

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A Cauchy random variable has a PDF
A Cauchy random variable has a PDF(a) Find the characteristic

(a) Find the characteristic function, ϕX(ω) .
(b) Show that the derivatives dk / dωk (ϕX(ω)) do not exist at ω = 0.What does this mean?

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