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PDF-Whendoesithappenthatfisuniformlycontinuouson[a;b]?Here'saneasyifrestri PDF document

KSupposexy2abwithxyandyxWeapplythemeanvaluetheoremonxytoobtainjfxfyjjf0cjjxyjKwherec2xyThusweshownuniformcontinuityWhatisniceaboutthepropositionifthatdependsjustonandthe

K.Supposex;y2[a;b]withxyandyx.Weapplythemeanvaluetheoremon[x;y]toobtainjf(x)f(y)j=jf0(c)jjxyjK=;wherec2[x;y].Thusweshownuniformcontinuity.Whatisniceaboutthepropositionifthatdependsjustonandthe

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Whendoesithappenthatfisuniformlycontinuouson[a;b]?Here'saneasyifrestri: Transcript

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