设数列{ Xn}满足0

设数列{ Xn}满足0 设数列{Xn}、{Yn}、{Zn}满足Xn 设数列{xn}满足xn+1=xn/2+1/xn,X0>0,n=0,1,2,3,...证明数列{xn}极限存在并求出其极限 设数列{ Xn } 满足│Xn+1-Xn│≤k│Xn-Xn-1│,n=2,3,...(0 函数f(x)=2x/x+2,设数列{xn}满足X(n+1)=f(Xn),且X1>0,求证:数列{1/Xn}是等差数列 设数列{xn}满足x1=1 xn=(4xn-1+2)/(2xn-1+7) 设数列{Xn}满足x1=10,lgXn+1=1+lgXn,求通项Xn. 已知数列{Xn}满足Xn+1=Xn^2+Xn,X1=a(a-1),数列{Yn}满足Yn=1/(Xn+1),设Pn=X/(Xn+1),Sn=Y1+Y2+...+Yn,则aSn+Pn=_____ 设数列Xn Yn满足lim(n→∞)XnYn=0 若xn无界 则yn必有界为什么错了 设数列Xn Yn满足lim(n→∞)XnYn=0 若xn无界 则yn必有界是对的吗? 已知数列xn满足xn-xn^2=sin(xn-1/n),证明xn的趋向正无穷的极限为0 设a>0,{Xn}满足X0>0,Xn+1=1/2(Xn+a/Xn) ,n+1是下标,n=0,1,2...,证明：{Xn}收敛,求(n趋向无穷) lim Xn答案提示里要用归结原则（先把数列变成函数）和洛必达法则 设数列an=n3+Xn(n属于N),且满足a1 设x1>0,且有Xn+1=根号6+xn,证明数列xn收敛并求出极限 设x0=1,x(n+1)=(xn+2)/(xn+1)(n>=0),证明数列{xn}收敛. 设函数f(x)定义如下表,数列{Xn}(满足X0=5,且对于任意的自然数n,均有Xn+1=f(Xn),求x2011 已知数列{xn}满足x1=2,x(n+1)=xn^3；设bn=lgxn,求数列{bn}的通项公式 设数列Xn于Yn满足lim x->无穷 XnYn=0,准确的:A,若Xn发散,则Yn必发散 B,若Xn无界,则Yn比无界C,若Xn无界,则Yn比为无穷小D,若1/Xn为无穷小,则Yn必为无穷小