Integrable function proof
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Assume that fn->f uniformly on [a,b] and that each fn is integrable. Then f is integrable and lim n->inf of the integral from a to b of fn = integral from a to b of f© BrainMass Inc. brainmass.com March 6, 2023, 8:41 pm ad1c9bdddf
Please see the attachment.
Since uniformly on , then for ...
This provides an example of a proof regarding integrable functions.