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x1=1 xn=(4xn-1+2)/(2xn-1+7) 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 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=_____ 数列与不等式的题目已知数列Xn满足 Xn=-(1/2)Xn-1^2 +Xn-1 +1,1 若递增数列Xn满足X1=1/2,且4Xn*Xn+1=(Xn+Xn+1-1/2)^2,求Xn 数列｛Xn｝满足条件|Xn+1-Xn|≤1/n^2 证明Xn极限的存在 求{Xn} Xn+1=2Xn-(Xn)的平方 已知数列Xn,满足X1=1,Xn= 已知数列{xn}满足x1=3,x2=x1/2,...,xn=1/2(xn-1+xn-2),n=3,4,...,则xn等于 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 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=10,lgXn+1=1+lgXn,求通项Xn. 设数列{Xn}、{Yn}、{Zn}满足Xn 证明:若数列xn满足lim(Xn+1-Xn)=l,则limXn/n=l 已知首项为x1的数列（xn）满足xn+1=(a*xn)/(xn +1) (a 为常数). 已知数列x1,……xn,且满足x1=2,xn+1=1-xn分之1,求x2010 设x0=1,x(n+1)=(xn+2)/(xn+1)(n>=0),证明数列{xn}收敛.