PDF-Theorem:Supposethatfn:E!RconvergesuniformlyonEtoafunctionf.Supposethat
3holdsforallx2ENowlookatfNThisfunctioniscontinuousatx0hencethereexistsa0sothatjxx0jx2EimpliesthatjfNxfNx0j
3Thenforanyx2Ejxx0jwehavejfxfx0jjfxfNxjjfNxfNx0jjfNx0
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