# Question: A Cauchy random variable has a PDF a Find the characteristic

A Cauchy random variable has a PDF

(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?

(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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