Question

gxercise 7.3.5. Provide an example or give a reason why the request is im- ossible. (a) A sequence (n)f pointwise, where each fn has at most a finite number of discontinuities but f is not integrable. b) A sequence (9n) g uniformly where each gn has at most a finite number of discontinuities and g is not integrable. c) A sequence (h)+h uniformly where each hn is not integrable but h is integrable.

Answer 1

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