that (An) rges in babilit to A II ntains a further subsequence that converges a.e. to X. only if every subseque

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A: The proof for the convergence on [-1, 1] is shown below.

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Q: =1 nº+1

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Q: SELECT (n!)? (2n)! .()* B) is similar to G A) converges C) is similar to )" D) diverges

A: We will use Ratio Test to determine convergency

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A: Let  be a sequence of integrable functions whose choose  are arbitrary.Since  is uniformly…