求翻译：泰勒定理在数学分析中的地位十分重要,它将一些复杂的函数近似地表示成简单的多项式函数，而微积分中许多较难解决的问题也都可以通过泰勒定理来解决, 本文着重介绍了带有皮亚诺型余项和带有拉格朗日型余项的泰勒定理的证明及其在求极限，近似计算，以及证明不等式方面的应用，通过这些工作加深对泰勒定理的认识与理解。是什么意思？

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Taylor theorem in mathematics analysis in the of status is important, it will some complex of function approximate to said into simple of more item type function, and calculus in the many more difficult resolve of problem also are can through Taylor theorem to resolve, this article focused on descri

Taylor's theorem in mathematical analysis of the position is very important, it will be some complex function approximated as a simple polynomial function, while the calculus is more difficult to solve many problems can be solved by Taylor's Theorem, this article focuses on the type with Piano and w