设 gt bgt 0 ,n>1, 证明:-|||-nb^(n-1)(a-b)

证明下列不等式:-|||-设 gt bgt 0 ,n>1, 证明:-|||-(b)^n-1(a-b)lt (a)^n-(b)^nlt n(a)^n-1(a-b)

设gt bgt 0 gt 1，证明 gt bgt 0 gt 1设，证明

[题目]设 gt bgt 0 ,证明: dfrac (a-b)(a)lt ln dfrac (a)(b)lt dfrac (a-b)(b)

[题目]设 gt bgt 0, 证明: dfrac (a-b)(a)lt ln dfrac (a)(b)lt dfrac (a-b)(b).

[题目]设 gt bgt 0 ,证明: dfrac (a-b)(a)lt ln dfrac (a)(b)lt dfrac (a-b)(b)

11.设 gt bgt 0, 证明:-|||-dfrac (a-b)(a)lt ln dfrac (a)(b)lt dfrac (a-b)(b)

11.设n阶方阵A的伴随矩阵为A`,证明:-|||-(1) |A|=(|A|)^n-1.-|||-(2) (A)= ) n,R(A)=n, 1,R(A)=n

[题目]证明:当 geqslant 0 时, (x)^n-1-(n-1)(x)^nleqslant 1,-|||-(正整数 gt 1 ).

3.设实数 in (0,1) .数列(xn)满足 _(0)=1 ,且对任意正整数n,均有 _(n)=dfrac (1)({x)_(n-1)}+a 证明:对任-|

+(a)_(n-1)x=0 有一个正根 =(x)_(0) ,证明方程 _(0)n(x)^n-1+(a)_(1)(n-1)(x)^n-2+... +(a)_(n-