标准近似实数及其应用

符号“０＋”是一个标准近似实数．数列｛１２ｎ｝的可达标准近似极限为０＋．符号“０＋”能反映这个数列的“万世不竭”的状况．设函数ｆ（ｘ）在ｘ０的左右侧标准近似导数存在，则ｆ（ｘ）在ｘ０取得极大（小）值的充要条件是：左标准近似导数ｆ′（ｘ－０）＞０（＜０）；右标准近似导数ｆ′（ｘ＋０）＜０（＞０）．

Standard Approximate Real Number and its Application

The sign “0+” is a standard approximate real number.The “standard approximate limit reached” of the number sequence 12n is 0+.The sign “0+” can express the condition of the number sequence “could not be ended forever”.The suppose function f(x) has left and right standard approximate derivative at x0,then necessary and sufficient condition of function f(x) posses maximum(minimum) is:the left standard approximate devivative f′(x-0)>0(<0),and the right standard approximate derivative f(x+0)<0(>0).