设数列{Xn}和{Yn}均为非负数列,且limXn=0(n趋向无穷大),
设数列{Xn}和{Yn}均为非负数列,且limXn=0(n趋向无穷大),
设数列{Xn}有界且当n趋向于无穷大时,{Yn}极限为0,证明当n趋向于无穷大时Xn·Yn的极限为0
设{Xn}为不减数列,yn=n/(X1+X2+…Xn),且limyn=A,证明:limXn=A.你还能用一般方法解决吗?
设数列{xn}有界,又lim(n趋向于无穷大)yn=0,证明:limxnyn=0
设数列Xn有界,limYn=o ,limn趋向于正无穷.证明limXn.Yn=0
limxn=a lim(yn-xn)=0 则数列{yn} n趋于无穷
设数列{xn}有界,又limn->无穷yn=0,证明证明limXn.Yn=0,并由此结论求极限limn->无穷[n/(n
数列xn单调递增,yn单调递减,lim(xn-yn)=2(n趋向于正无穷),证明Xn Yn 皆收敛.
“数列Xn,Yn满足lim(n->正无穷)Xn*Yn=0,若Xn有界则Yn必为无穷小 ” 这一命题正确吗 为什么
设数列〔Xn〕有界,又lim(下面是n趋于无穷大)Yn等于0,证明:lim(n趋于无穷大)等于0
数列Xn有界,又数列Yn=0 (n趋近无穷大) 证明数列XnYn=0 (n趋近无穷大)
设数列{Xn}有界,又limyn=0(n趋向于无穷大),证明:limxnyn=0(n趋向于无穷大).