Suppose {fn}n=1 and {gn}n=1 converges uniformly on E where {fn}n=1 and {gn}n=1 are sequences of bounded functions. Prove that {fgn}n=1 converges uniformly on E.

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Q: Suppose {fn}n=1 converges uniformly on E. Show {fn}n=1 converges pointwise on E.

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Q: 3. Let {fn}n=1 and {gn}-1 converges uniformly on E. Prove that {fn - In}n=1 converge uniformly on E.

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Q: uniformly co

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Q: Let {fn}n=1 and {gn}n=1 converges uniformly on E. Prove that {fr – In}=1 converge uniformly on E.

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