牛顿说他已放弃了微元或无穷小量。
Newton says he has abandoned the infinitesimal or infinitely small quantity.
对用等价无穷小量代换定理求极限进行了推广。
This paper promotes the proposition on asking the limit with equivalence infinite small quantity instead of theorem.
他们在无穷和无穷小量这个问题上,其说不一,十分含糊。
They are infinite and infinitely small amount of this issue, its say no one, is very vague.
用等价无穷小量替换求极限是一种常用、方便、有效的方法。
Getting limit with substitution of equivalence infinitesimal is a common, convenient and efficient way.
牛顿的无穷小量,有时候是零,有时候不是零而是有限的小量;
Newton's infinite small, sometimes zero, sometimes not zero but a small amount of limited;
本文讨论了在幂指函数求极限的过程中利用等价无穷小量代换,提出了四条定理,并给出了证明。
This article mainly discusses about how to take advantage of infinitesimal quantity to get the limit of power-exponential function.
本文讨论了在幂指函数求极限的过程中利用等价无穷小量代换 ,提出了四条定理 ,并给出了证明。
The paper provides the theorem of the limit of combination of power and exponent function, which gives us a new method to work out the limit of this kind of function.
文章通过对无穷小量与无穷大量的阶的概念研究,用阶的估计讨论数学分析中数列、函数及级数收敛问题,也为收敛问题深入研究提供了一种方法。
This paper studies the concept of infinitesimal and infinity, and discusses the convergence of sequence, function and series with the estimation of the orders.
文章通过对无穷小量与无穷大量的阶的概念研究,用阶的估计讨论数学分析中数列、函数及级数收敛问题,也为收敛问题深入研究提供了一种方法。
This paper studies the concept of infinitesimal and infinity, and discusses the convergence of sequence, function and series with the estimation of the orders.
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