(45)设数列x_{n)}满足x_(1)=1,x_(n+1)=(x_(n)+2)/(x_(n)+1)(n=1,2,...),试证lim_(ntoinfty)x_
3.[填空题]若lim_(ntoinfty)x_(n)=alpha,则lim_(ntoinfty)|x_(n)|=____.3.[填空题]若$\lim_{n\t
12 填空 设数列(x_{n)}的一般项x_(n)=(cosfrac(npi)/(2))(n),问lim_(ntoinfty)x_(n)=_.12 填空 (3
设x_(0)=0,x_(n)=(1+2x_(n-1))/(1+x_(n-1))(n=1,2,3,...),则lim_(ntoinfty)x_(n)=设$x_{0
设数列|x_(n)|满足:x_(1)in(0,pi),x_(n+1)=sin x_(n)(nin N_(+)).证明lim_(ntoinfty)x_(n)存在,
52202A.设Phi(x)为标准正态分布的分布函数,X_(i)=}1,事件A发生(i=1,2,...,n)且P(A)=p,X_(1),X_(2),...,X_
5.设f(x+1)=lim_(ntoinfty)((n+x)/(n-2))^n,则f(x)=( )A. $e^{x-1}$B. $e^{x+2}$C. $e^
(函数极限058)设lim_(xto x_{0)}f(x)=a,则lim_(xto x_{0)}[f(x)]^n=()A. 2aB. a^nC. caD. a^
5、设数列x_(n),y_(n)满足lim_(n to infty)x_(n)y_(n)=0,则下列断言正确的是( )A. 若$x_{n}$发散,则$y_{n}
设数列x_{n)}满足:x_(1)>0,x_(n)e^x_(n+1)=e^x_(n)-1(n=1,2,...).证明x_{n)}收敛,并求极限lim x_(n)