[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)

设a＞b＞0，证明：(a-b)/(a)＜ln(a)/(b)＜(a-b)/(b)．设a＞b＞0，证明：$\frac{a-b}{a}$＜ln$\frac{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 ,n>1, 证明:-|||-nb^(n-1)(a-b)

[题目]当 gt 0 时,证明: -dfrac ({x)^2}(2)lt ln (1+x)lt x.

[题目]-|||-3.设 ,bin R, 证明:若对任何正数ε有 |a-b|lt c 则 =b.

证明:若对任何正数ε,有 |a-b|lt c, 则 =b.-|||-4.设 neq 0, 证明 |x+dfrac (1)(x)|geqslant 2, 并说明其

(B) gt 0 ,gt 0 . (C) a-b=1 . (D) gt 0 ,lt 0 .