求無窮項(xiàng)和數(shù)列極限方法的探討
2018-11-20 11:49:10胡漢章
教育教學(xué)論壇 2018年48期
胡漢章
摘要：極限理論是數(shù)學(xué)分析的基礎(chǔ)，而求無窮項(xiàng)和數(shù)列極限又是數(shù)列極限的一個(gè)難點(diǎn)，本文主要討論公式法、夾逼準(zhǔn)則、定積分法與和函數(shù)法等來求無窮項(xiàng)和數(shù)列極限，并通過相應(yīng)的例子討論這些方法的應(yīng)用。
關(guān)鍵詞：數(shù)列極限；夾逼準(zhǔn)則；定積分法；和函數(shù)法
中圖分類號(hào)：G642.41 文獻(xiàn)標(biāo)志碼：A 文章編號(hào)：1674-9324（2018）48-0186-02
Abstract：Limit theory is the basis of mathematical analysis，and finding the sequence limit of infinite term sum is a difficult problem. This paper mainly discusses the formula method，the Sandwich Theorem，the definite integration method and the sum function method to find the sequence limit of infinite term sum. The application of these methods is discussed by corresponding examples.
Key words：sequence limit；Sandwich Theorem；the definite integration method；the sum function method
