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第三章函数极限函数极限的柯西准则Cauchy准则:(以f(x)0x(0,)Ux()lim0xfxx),x,x0(,0(0,)Ux.)()(fxxf设函数在点的某空心邻域内有定义.则存在()lim0xfxx为例.)证明:(必要性),()lim0Axfxx;)(,0,000xxU/.2|()|xAf;),(,00xUxx.|()||)(|(|))(|AfxAfxfxxf设则有所以,有(充分性));(}{00xxnU.lim0xxnnNN... 2024-05-1501.82 MB8页