Explore BrainMass

Explore BrainMass

    Integrable function proof

    Not what you're looking for? Search our solutions OR ask your own Custom question.

    This content was COPIED from BrainMass.com - View the original, and get the already-completed solution here!

    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
    https://brainmass.com/math/integrals/integrable-function-proof-218701

    Solution Preview

    Please see the attachment.

    Proof:
    Since uniformly on , then for ...

    Solution Summary

    This provides an example of a proof regarding integrable functions.

    $2.49

    ADVERTISEMENT