Question

prove that Lebesgue outer measure of an interval is its length​

Answer 1

Answer:

The outer measure of an interval is its length. ... (3) If I is an unbounded interval, then given any natural number n ∈ N, there is a closed interval J ⊂ I with l(J) = n. Hence m∗(I) ≥ m∗(J) = l(J) = n. Since m∗(I) ≥ n and n ∈ N is arbitrary, then m∗(I) = ∞ = l(I)

Answer 2

Step-by-step explanation:

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