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Posted: **Thu Apr 28, 2022 6:45 am**

: 3 A If A B Cr N 1 C L A B And Fr F Uniformly On A B Then Feli A B And On M B Defining F X 1 (18.9 KiB) Viewed 22 times

3. (a) If [a, b] CR, (n)=1 c L ([a,b]) and fr + f uniformly on (a, b), then feli([a,b]) and on → M. (b) Defining f(x) = n 'e-1/", show that (n)-1 CLi(0,0)), In → 0 uniformly on [0, 0), and l fn = 1 VnEN. Thus, (a) is not true if [a, b] is replaced by [0, ~).