“单调有界函数必有极限”吗?  

Does Monotone Locally Bounded Function Definitely Have Extreme?

作　　者：罗铁山[1] 王荣[2] 

机构地区：[1]唐山学院,河北唐山063000 [2]唐山师范学院初等教育学院,河北唐山063000

出　　处：《唐山学院学报》2007年第4期103-103,111,共2页Journal of Tangshan University

摘　　要：由“单调有界数列必有极限”不能得到“单调有界函数必有极限”的结论,因为数列的极限过程是确定的,而函数的极限过程则是多种多样的。The conclusion cannot be drawn that monotone locally bounded function definitely has extreme on the basis of the fact that monotone locally bounded sequence definitely has extreme because the extreme process of function is definite while the sequence extreme process is varied.

关 键 词：函数 数列 单调有界 极限过程 

分 类 号：O171[理学—数学]