易強(qiáng) 呂希元

摘 要 數(shù)列極限是指隨著的無(wú)限增大，無(wú)限接近于某個(gè)任意常數(shù)的結(jié)果，它體現(xiàn)了一個(gè)極限過(guò)程，本文主要討論在數(shù)列極限的定義和它的個(gè)重要性質(zhì)的基礎(chǔ)上延伸出了幾個(gè)結(jié)論，并對(duì)結(jié)論加以證明。

關(guān)鍵詞 數(shù)列極限 收斂 鄰域 發(fā)散 有界數(shù)列

中圖分類號(hào)：O171 文獻(xiàn)標(biāo)識(shí)碼：A DOI：10.16400/j.cnki.kjdks.2016.07.020

Abstract Limit of a sequence refers to with the infinitely increasing， infinitely close to the results of an arbitrary constant， it reflects a limiting process. This paper mainly discusses on the basis of the definition of the limit of a sequence and its important properties extends several conclusions， and the conclusion is proved.

Keywords： sequence limit； convergence； neighborhood； divergence； bounded sequence