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.
【英语牛人团】
SB
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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