State which of the following is true. 1. If a sequence of functions (f„), converges pointwisely to f on [a, b), then fndx → S Sdz . 2. If a sequence of functions (fm), converges pointwisely to f on...


State which of the following is true.<br>1. If a sequence of functions (f„), converges pointwisely to f on [a, b), then fndx →<br>S Sdz .<br>2. If a sequence of functions (fm), converges pointwisely to f on [a, b], then (f„), converges<br>pointwisely to f'.<br>3. If a sequence of functions (fm)n converges uniformly to f on [a,b), then fndx →<br>Si Sdz .<br>4. If a sequence of functions (f„), satisties Li Jadz → S, fdx, then (f.)n converges uni-<br>formly to f on (a, b).<br>O 1<br>2<br>3<br>4<br>

Extracted text: State which of the following is true. 1. If a sequence of functions (f„), converges pointwisely to f on [a, b), then fndx → S Sdz . 2. If a sequence of functions (fm), converges pointwisely to f on [a, b], then (f„), converges pointwisely to f'. 3. If a sequence of functions (fm)n converges uniformly to f on [a,b), then fndx → Si Sdz . 4. If a sequence of functions (f„), satisties Li Jadz → S, fdx, then (f.)n converges uni- formly to f on (a, b). O 1 2 3 4

Jun 04, 2022
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