We define the set X ⊆ L^∞ by X = { {xn} ∈ L^∞ : lim n→∞ xn = 1 } Prove that the set X with the subspace metric d∞|X×X is a complete metric space.

Question

Question

We define the set X ⊆ L^∞ by X = { {xn} ∈ L^∞ : lim n→∞ xn = 1 }

Prove that the set X with the subspace metric d∞|X×X is a complete metric space.

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Answer 1

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Answer 2

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