This paper demonstrates the generalized Rolle theorem and discussed the zero of Legendre polynomials.
对广义罗尔定理进行了证明，并应用广义罗尔定理讨论了勒让德多项式的零点。
On the basis of these theories, Rolle mean value theorem, Lagrange mean value theorem and Cauchy mean value theorem 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。
The author generalizes the theorem of Rolle in the calculus from closed interval to semi-infinite interval and infinite interval , which is useful for students to understand theorem of Rolle better.
本文将微积分中的罗尔定理从有限闭区间推广到了半无限区间和无限区间，有助于对罗尔中值定理的理解。
The author generalizes the theorem of Rolle in the calculus from closed interval to semi-infinite interval and infinite interval , which is useful for students to understand theorem of Rolle better.
本文将微积分中的罗尔定理从有限闭区间推广到了半无限区间和无限区间，有助于对罗尔中值定理的理解。
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