来自任苹的问题
已知数列{xn}满足:x1=1,xn=xn+1+ln(1+xn+1)(n∈N*),证明:当n∈N*时,(Ⅰ)0<xn+1<xn;(Ⅱ)2xn+1-xn≤xnxn+12;(Ⅲ)12n-1≤xn≤12n-2.
已知数列{xn}满足:x1=1,xn=xn+1+ln(1+xn+1)(n∈N*),证明:当n∈N*时,
(Ⅰ)0<xn+1<xn;
(Ⅱ)2xn+1-xn≤xnxn+12;
(Ⅲ)12n-1≤xn≤12n-2.
1回答
2020-08-0204:50