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PDF-66JoelF.FeinsteinfnconvergetoffrombelowonXifthefunctionsfntendtofpoint PDF document

68JoelFFeinsteinCwhichconvergetofpointwiseonXandsuchthatjfnxjgxn2Nx2XThenlimn1ZXjfnfjd0andZXfdlimn1ZXfndProofThesecondequalityfollowsquicklyfromthe rstToprovethe rstequalityobser

68JoelF.FeinsteinCwhichconvergetofpointwiseonXandsuchthatjfn(x)jg(x)(n2N;x2X).Thenlimn!1ZXjfnfjd=0andZXfd=limn!1ZXfnd:Proof.Thesecondequalityfollowsquicklyfromthe rst.Toprovethe rstequality obser

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