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

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 设数列Xn有界,limYn=o ,limn趋向于正无穷.证明limXn．Yn=0 问一道数学题 设数列xn有界,又limn yn=0,证明 lim xnyn=0 并利用此结论求极限 limxn=a lim(yn-xn)=0 则数列{yn} n趋于无穷 设数列{Xn}有界,又lim(n趋近于正无穷)Yn=0,证明：lim(n趋近于正无穷)XnYn=0 设数列{Xn}有界,又lim(n->正无穷)Yn=0,证明：lim(n->正无穷)XnYn=0.定义法 数列Xn有界,N趋近于无穷时Yn=0,证明N趋近于无穷时,Xn*Yn=0 设数列Xn有界,lim(n趋近于无穷）Yn=0,证明lim(n趋近于无穷）XnYn=0 求个具体证明过程.谢谢X趋近无穷.设limXn=A,limYn=B,根据数列极限定义证明：limXn+Yn=A+B 设数列{xn}有界,又lim(n趋向于无穷大)yn=0,证明:limxnyn=0 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. 极限如题：假设无穷数列Xn有界,无穷数列Yn的极限等于0,证明Xn●Yn的极限等于0.问：这道题的关键是不是要证明Xn●