11. Let a, b ER with a < b, and let {fr} be a uniformity convergent sequence of continuous real- valued functions on [a,b). Prove that the taking the limit and integrating can be exchanged in this case.i.e., S [limn-co fn (x)]dx = lim, -co S, fn (x)dx xp(x)"! *
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![11. Let a, b ER with a < b, and let {fr} be a uniformity convergent sequence of continuous real-
valued functions on [a,bl. Prove that the taking the limit and integrating can be exchanged in
this case.i.e.,
wwwenww
S limn-co fn (x)]dx = lim, -co S, fn (x)dx
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