等价无穷小是无穷小的一种。在同一点上，这两个无穷小之比的极限为1，称这两个无穷小是等价的。等价无穷小也是同阶无穷小。从另一方面来说，等价无穷小也可以看成是泰勒公式在零点展开到一阶的泰勒展开公式。
用等价无穷小代换求幂指函数的极限-论文-捷迅论文网 关键词】幂指函数；等价无穷小；极限 ... [gap=603]Key words】The power-exponential function；Equivalent infinitesimal；Limit
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求极限的问题_百度知道 关键词：等价无穷小 替代 极限运算 [gap=2018]Keywords: equivalent infinitesimal substitution
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等价无穷小代换定理 the theorem of replace with infinitesimal of equal value
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本文对用等价无穷小代换与洛必达法则求函数的极限进行了探讨。
This article discusses some problems which should be paid attention to using equivalation infinite small and the L Hospital Theory.
文章着重介绍了在正项级数比较审敛法的极限形式中，用等价无穷小的方法来判别正项级数的敛散性。
This paper is mainly about recognizing convergence with the methods of infinitesimal equivalence in the limit form of convergence criterion in series of positive terms .
对无穷小提出了新的分类法，并对等价无穷小替换定理的条件进行了简化，从而使得该定理应用更加方便。
In this paper, infinitesimal classification is given and theorem condition of equivalent infinitesimal replacement is simplified, thus, this theorem is easy to operate.
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