3.设(An)是一列集合,作 _(1)=(A)_(1), _(n)=(A)_(n)/((C)_(i)=(C)_(i)(A)_(i)) ,n=2, 3,···,证
13.设 sum _(i=1)^infty (a)_(n)=1, 则 sum _(n=1)^infty ((a)_(n)-2(a)_(n+1))= __
设λ1,λ2,···,λn-|||-是n阶方阵的特征值,则有-|||-sum _(i=1)^n(lambda )_(i)=sum _(i=1)^n(a)_(in
(B) dfrac (1)(n+1)sum _(i=1)^n(({X)_(i)-overline (X))}^2 .-|||-(C) dfrac (1)(n)s
dfrac (1)(n-1)sum _(i=1)^n(({X)_(i)-overline (X))}^2 .-|||-n-|||-C. sqrt (dfrac
59 lim_(n to infty ) sum_(i=1)^n (n)/(n^2)+i^(2+1)=____59 $\lim_{n \to \infty }
判别下列级数的绝对收敛性与收敛性:(1) sum_(n=1)^infty (i^n)/(n); (2) sum_(n=2)^infty (i^n)/(ln n
,(x)_(n),(x)_(n+1) 是来自N(μ,σ^2)的样本, overrightarrow ({x)_(n)}=dfrac (1)(n)sum _(i=
3.设n个随机变量X_(1),X_(2),...,X_(n)独立同分布,D(X_(1))=sigma^2,overline(X)=(1)/(n)sum_(i=1
设A_(1),A_(2),...,A_(n),...是事件列,若A_(n)subset A_(n+1),n=1,2,...,A=bigcap_(i=1)^inf