【正文】
數(shù)列中小于的項(xiàng)至多有限個(gè)。, 數(shù)列中小于的項(xiàng)有無(wú)限多個(gè).證明:類(lèi)似定理3證明,或用代替.從一些性質(zhì)和定理的證明可以看出有些步驟用到數(shù)列上,關(guān)于不同對(duì)象的上、下極限的定義,本質(zhì)上都起源于數(shù)列的上、下極限定義,比如,集合列的上,下限極等,在此就不做介紹了.參考文獻(xiàn):[1] (上冊(cè)).北京:高等教育出版社,2001 [2] (下冊(cè)).北京:高等教育出版,1979 [3] 李成章,黃玉民編. 數(shù)學(xué)分析(上冊(cè)).科學(xué)出版社,1998 [4] [M] .:高等教育出版社,2003 [5] [M].天津:南開(kāi)大學(xué)出版社,1993[6] [M].北京:高等教育出版社,2002[7] :上[M].北京:高等教育出版社,1997[8] :高等教育出版社,1993[9] 吳良森,(上冊(cè)).北京:高等教育出版社,2004[10] 胡適耕,:科學(xué)出版社,2008[11] 陳紀(jì)修,(下冊(cè)).北京:The sequence about limit with gathers the row on lower limit collectionHao Lijiao 200711150652007 grades of mathematics,science college mathematics and the applied mathematics professions 1 classAbstract:Sequence on, under the limit concept is limit concept extending,because they collect in the divergence distinction law in the seriesof positive terms the vital role, also bees the theory which in themathematical analysis has no alternative but to say to be article mainly discussed the sequence about limit with to gatherthe row on lower limit collection as well as their a series of natureKey words: Sequence;Limit;Accumulation points;Sequence of sets;Function