如果函数f(x)在含有x0的某个开区间(a,b)内具有直到(n+1)阶的导数,则对任一x属于(a,b),有 f(x)=f(x0)+f'(x0)(x-x0)+f''(x 0)(x-x0)2/2!+……+fn(x0)(x-x0)n/n!+R(x) 其中 R(x)=f n+1(ζ)(x-x0) n+1/(n+1)! 这里ζ是x0与x之间的某个值。
讨论泰勒中值定理中中值点的连续性及可导性问题,给出泰勒中值定理中中值点连续及可导的充分条件,同时给出计算其导数的公式。
The continuity and derivative of the intermediate point in the Taylor mean value theorem are discussed, and some of their sufficient conditions are presented.
利用泰勒公式,给出中值定理“中值点”渐近性质的一个定量刻画。
Using the Taylor formula, gives the theorem of mean "the value point" an approach nature quota portray.
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