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Dear Tutors, Help me prepare by helping me with this problem. Include all steps and explanations. Thank you in advance! If f, is a sequence

Dear Tutors,

Help me prepare by helping me with this problem. Include all steps and explanations. Thank you in advance!

If f, is a sequence of integrable functions on [a,b] and f, -> f uniformly on [a,b], then prove or disprove that f is integrable on [a,b]

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