This paper introduces the proof and application of Cauchymean-valuetheorem from many angles in every aspect.
本文介绍了柯西中值定理的多种证明方法及其应用。
2
On the basis of these theories, Rolle meanvaluetheorem, Lagrange meanvaluetheorem and Cauchymeanvaluetheorem are proved by constructing nested interval.
在此基础上通过构造区间套依次证明了罗尔中值定理、拉格朗日中值定理和柯西中值定理。
3
This paper gives the new method to prove the cauchymeanvaluetheorem which also may be deduced from the Lagrange mean value theorem.