Write the limiting distribution and representation (2.2.5) for the Xs having (a) The density f(x) = 2x

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Write the limiting distribution and representation (2.2.5) for the X’s having

(a) The density f(x) = 2x for x ∈ [0,1];

(b) The density f(x) = 1/2(2−x) for x ∈ [0,2].

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