37.已知x_{n)},y_{n)}满足：x_(1)=y_(1)=(1)/(2),x_(n+1)=sin x_(n),y_(n+1)=y_(n)^2(n=1,2,...),则当n→∞时，

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}

X_(n) 和 Y_(1) ... Y_(n) 分别取自正态总体 X sim N(mu_(1), sigma^2) 和 Y sim N(mu_(2), sigm

2.设X与Y相互独立且都服从N(0,3²)分布，X_(1),X_(2),...,X_(9)，Y_(1),Y_(2),...,Y_(9)分别是来自 于X和Y的样本

(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_

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)

设数列x_{n)}由x_(1)in(-infty,+infty)和x_(n+1)=(1)/(3)x_(n)+(2)/(3)-(1)/(2)int_(1)^x_(

,X_(9) 与 Y_(1),Y_(2), ... ,Y_(9) 是分别来自动体X,Y的简单样本,统计量 W= (X_(1)+X_(2)+ ... +X_(9)

X_(9)是来自总体X的样本，Y_(1),Y_(2),... Y_(9)是来自总体Y的样本，则统计量U=(X_(1)+...+X_(9))/(sqrt(Y_(1

设(X_1, X_2, ..., X_(n_1))是来自总体X sim N(mu_1, sigma_1^2)的样本，(Y_1, Y_2, ..., Y_(n_2

注：类似地，设数列x_{n)}由x_(1)in(-infty,+infty)和x_(n+1)=(1)/(3)x_(n)+(2)/(3)-(1)/(2)int_(