揭示了海涅定理的内涵，分别给出了不同函数极限的海涅定理，归纳总结了它的应用并举出实例。
This paper is intended to give a definition of Heine theorem in different functions limits and summarize its application through illustrating examples.
海涅定理是《数学分析》的重要定理。叙述海涅定理的一些等价形式，给出新的证明，并说明它们的应用。
The Heine's theorem is an important theorem of "Mathematical Analysis". This thesis narrates some equal forms, gives the new testimonies and illustrates their practice.
海涅定理是《数学分析》的重要定理。叙述海涅定理的一些等价形式，给出新的证明，并说明它们的应用。
The Heine's theorem is an important theorem of "Mathematical Analysis". This thesis narrates some equal forms, gives the new testimonies and illustrates their practice.
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