Let 1, n be finite measure on ((, A) and set 1 n (in the sense that (A) (ni 1 i(A), A ( A) Then show that is also finite

Question: Let 1,...n be -finite measure on ((, A) and set = 1 + ... + n (in the sense that (A) = (ni=1

Let μ1,...μn be σ-finite measure on ((, A) and set μ = μ1 + ... + μn (in the sense that μ (A) = (ni=1 μi(A), A ( A). Then show that μ is also σ-finite.

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