The author generalizes the theorem of Rolle in the calculus from closed interval to semi-infiniteinterval and infiniteinterval , 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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In this paper, after the concept of infiniteinterval estimating and its utmost goodness are built, the optimal relation between infiniteinterval estimating and relevant hypothesis testing is proved.