摘要：泰勒公式是数学分析中重要的公式，它集中体现了微积分“逼近法”的精髓，在微积分学及相关领域的各个方面都有重要的作用。本文在现行教材的基础上，对泰勒公式在函数值，积分值，导数值，以及界的估计等估值问题中的具体应用进行讨论和总结。

关键字：泰勒公式，积分，导数，估值

Abstract：Taylor formula is the embodiment of “ approximatioss ”of calculous and has important applications in various aspects of calculus. This paper introduces an application of Taylor formula in Function value, Taking the derivative, Integral    quantity,as well as Boundary estimate on the basis of theorems,which have been stated in current general textbooks

Key words： Taylor Formula，Integration, Derivative，Guess value.