带Peano余项的Taylor定理的证明及应用

The Proof and Use of Taylor's Theorem with Peano Remainder

运用高阶导数、极限、罗必塔法则及数学归纳法,给出了带Peano余项的Taylor定理的又一种证明,并介绍了它在极限和极值方面的应用。

By using derivative of higher order, limit, I＇ hospital law and Complete induction, this paper gives another proof to Taylor＇ s Theorem with peano remainder and introduces its use of limit and limit field.