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PDF-2Taylor'sTheoremSection5.2Notethatthisisnotthemostobviouschoiceforv(ce PDF document

2fromwhichweobtainfxfcf0cxcf00txt2 2 xcZxcxt2 2f000tdtfcf0cxcf00c 2xc2Zxcxt2 2f000tdtSimilarlyweobtainTaylorstheoremforn3byanotherintegrationbyparts

2;fromwhichweobtainf(x)=f(c)+f0(c)(xc)f00(t)(xt)2 2 xc+Zxc(xt)2 2f000(t)dt=f(c)+f0(c)(xc)+f00(c) 2(xc)2+Zxc(xt)2 2f000(t)dt:Similarly weobtainTaylor'stheoremforn=3byanotherintegrationbyparts

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2Taylor'sTheoremSection5.2Notethatthisisnotthemostobviouschoiceforv(ce: Transcript

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