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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... 同阶无穷小 infinitesimal of the same order 等阶无穷小 equivalent infinitesimal 函数的连续性 continuity of a function ...
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class equivalent infinitesimal 类等价无穷小
equivalent infinitesimal generator 等价无穷小生成子
equivalent infinitesimal replacement 等价无穷小代换
algebraic conversion of equivalent infinitesimal 等价无穷小代换
infinitesimal equivalent 无穷小等价
In this paper, infinitesimal classification is given and theorem condition of equivalent infinitesimal replacement is simplified, thus, this theorem is easy to operate.
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。
Several methods about limit of power-exponent function are provided. Especially, the application of equivalent infinitesimal replacement is proved. And the theory is described by some examples.
对幂指函数求极限的问题，提出了几种方法，尤其讨论了等价无穷小替换在幂指函数求极限过程中的可行性。并且以实例演练了理论的应用性。
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