20xx畢業(yè)論文-數(shù)列極限的求法及其應(yīng)用-文庫吧資料
2025-01-19 16:12本頁面
【正文】 業(yè) 論 文（設(shè) 計(jì)） 屆 專業(yè) 班級(jí)題 目 數(shù)列極限的求法及其應(yīng)用 二О一一年 五 月 二十 日 內(nèi) 容 提 要 數(shù)列極限可用語言和語言進(jìn)行準(zhǔn)確定義，本文主要講述數(shù)列極限的不同求法，例如：極限定義求法、極限運(yùn)算法則法、夾逼準(zhǔn)則求法、單調(diào)有界定理求法、函數(shù)極限法、定積分定義法、Stoltz公式法、幾何算術(shù)平均收斂公式法、級(jí)數(shù)法、. 最后我們還簡(jiǎn)要介紹了數(shù)列極限在現(xiàn)實(shí)生活中的應(yīng)用，如幾何中推算圓面積，求方程的數(shù)值解，.關(guān)鍵詞定義；夾逼準(zhǔn)則；Stoltz公式；函數(shù)極限 On the Solutions and the Applications as to the Sequence LimitName: Yang NO. 07The guidance of teachers: Dong Titles: LecturerAbstract The limit of a sequence can be accurately defined by language and language. This paper mainly describes different solutions to finding sequence limit, for example, definition of sequence limit method, fundamental operations of sequence limit method, squeezing law method, the monotone convergence theorem method, function limits method, definite integrals definition method, Stoltz formula method, geomeric and arithmetic convergence formula method, series method, contraction method, etc. We39。ll also find that different methods can be used to solve the same limit. Finally, we also briefly introduce the applications of sequence limit in real life, such as, infering the area of a circle in geometry, finding the numerial solution of equations, studying the stability of the market operation and the amortization problems of purchase mortgage loans.Key Wordsdefinition。 Stoltz formula。（Stoltz公式） 設(shè)嚴(yán)格減，且，.若 （實(shí)數(shù)，），則 .（幾何算術(shù)平均收斂公式） 設(shè)，則（1） ，（2） 若，則.（夾逼準(zhǔn)則）設(shè)收斂數(shù)列都以為極限，數(shù)列滿足：存在正數(shù)，當(dāng)時(shí)，有
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