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跳跃间断点是第几类

更新时间: 2020-10-29 00:00:00     

跳跃间断点是第一类间断点。设函数f(x)在U(Xo)内有定义,Xo是函数f(x)的间断点(使函数不连续的点),那么如果左极限f(x-)与右极限f(x+)都存在,但f(x-)≠f(x+),则称Xo为f(x)的跳跃间断点。

左右极限存在是前提,左右极限相等,但不等于该点函数值f(x0)或者该点无定义时,称为可去间断点。如函数y=(x^2-1)/(x-1)在点x=1处。

关键词: 跳跃 断点

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