Question

求英语达人翻译一下论文的摘要谢谢了，不要在线翻译的哦 语法什么的都要正确

本文利用微分中值定理、泰勒公式、函数的单调性、极（最）值的判定法、定积分的性质等讨论了不等式的一些证明方法，最后给出了微积分在证明不等式中的具体应用．

Answer 1

This paper discusses the various routine methods for working out the proof of an inequation by means of mathematical knowledge such as differential mean value theorem, Taylor Equation, monotonicity of functions, judgement method of extremum (maximum) value of functions and the properties of definite integral, etc; it finally comes up with the specific application of infinitesimal calculus for proofing an inequation.

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Answer 2

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Answer 3

This paper discusses some approaches for proofing inequalities using differential mid-value theorem, Taylor formula, monotonicity of functions, extremum judging method and the character of the definite integral, and provides the specific applications of infinitesimal calculus in proofing inequalities at last.
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