求数学达人帮我解答一下开平方根公式:X(n + 1) = Xn + (A / Xn − Xn)1 / 2.等
X1=1,Xn=1+Xn/(1+Xn),n=1,2…,求Xn
设X1=1,Xn+1=3(Xn+1)/(Xn+3)(n=1,2……),证明Xn的极限存在,并求极限值.求大神解答,要详细
Xn+1-Xn=(-1/2)^n n∈N+ 且X1=1 求Xn
已知数列{Xn}满足x1=1/2,xn+1=1/(1+xn),n∈N+,证明:|xn+1-xn|≤1/6*(2/5)^n
数列{Xn}中,X1=1/2,X(n+1)=2Xn/(1+Xn^2),求Xn
设X1>0,xn+1=3(1+xn) / 3+xn (n=1,2…)求lim xn.
已知x1≠1,x1>0,xn+1=xn(xn^2+3)/(3xn^2+1)(n∈N),求证:数列{xn}或者对任意正整数
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}
数列{Xn}中X1=1,Xn+1 (n+1为下标)=( √2* Xn)/ (√Xn^2+2) (Xn^2+2在根号内)
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
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