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求解n项和数列极限的方法探讨

WANG Wei,HUANG Jiaxin

Studies in College Mathematics（2022）

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Abstract
对于n项和数列极限的解题方法中,本文只探讨利用迫敛准则求n项和的方法与利用定积分定义求n项和的解题方法.其中使用迫敛准则是一种常用的解题方法,若结合定积分定义便可对其余形式的极限进行求解,对不同形式n项和数列极限共给出5种方法总结.
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Key words
limit,convergence criterion,definite integral,Lebesgue dominated convergence theorem
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