1.
f(x)
=-1(当X0)
显然f(x)在0不连续,但|f(x)|=1恒成立,所以|f(x)|是连续的
2.
f(x)
=-1(当X是有理数)
=1(当x是无理数)
f(x)在任何点都不连续
但|f(x)|=1恒成立,所以|f(x)|在任何点都连续
绝对值极限例子的
绝对值极限例子的
1.举一个例子表明,| f |连续性并不意味着f的连续性.
2.举一个例子函数f是任何地方都不连续,但| f |是到处都连续.
1.举一个例子表明,| f |连续性并不意味着f的连续性.
2.举一个例子函数f是任何地方都不连续,但| f |是到处都连续.
数学人气:667 ℃时间:2019-10-29 20:38:44
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