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摘要: |
定积分的值只与被积函数和积分区间有关,与区间的划分方法以及点ζi的选取方法无关,利用定积分的定义,选择合理的区间划分方法及点ζi的选取法,不但可以简化与定积分相关的证明,而且可以处理一些复杂的求极限问题。 |
关键词: 定积分 等分区间 极限 |
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Application of Definite Integral Definition to the Proof and Solution to Limit |
ZENG Jing,CHENG Zhen-zhen,GENG Li-gang
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Abstract: |
The value of definite integral is only related to integtal function and integral interval but is not related to the method of interval division and the method for choosing point ζi.The definition of definite integral can be used to choose reasonable interval division method and point ζiselection method,which can not only simplify the proofs related to definite integral but also be able to deal with some complex problems in the solution to limit. |
Key words: definite interal equal subinterval limit |