求极限√n(√2n+1-√2n) n趋近无穷大

求极限√n(√2n+1-√2n) n趋近无穷大 (√n sin n )/ (n+1) 求当n趋近正无穷的时候的极限. (5^n+(-2)^n)/(5^(n+1)+(-2)^(n+1))当n趋近无穷,求极限. 2^n/n,n趋近无穷大的极限怎么求? 当n趋近无穷时,求(1/n+1)+(1/n+√2）+...+（1/n+√n）的极限 求极限lim((n+1)/(n2+1)+(n+2)/(n2+2)+...+(n+n)/(n2+n)),n趋近无穷 求极限lim(n趋近无穷){1/(n^2+1)+2/(n^2+1)+...+2n/(n^2+1)} 利用定积分定义求极限lim(n趋近无穷){n/(n^2+1)+n/(n^2+2^2)+...+n/(n^2+n^2)}最好有详细步骤 极限x趋近无穷(√n+3-√n)√n-1 带根号的极限如何算?比如下面道题,√ 代表根号(√ （n+1）—√ n)√ (n+1/2) n趋近无穷 求极限lim n趋向于无穷（1/n）*√(n+1)(n+2)⋯(n+n) 求√n(√(n+2)-√（n+1）),n→无穷,极限, 求极限lim(√(n^2-1) -n)/(n-√(n^2+1))的值 1+1/2+1/3+……+1/n N趋近无穷大 极限怎么求?RT (2^n+(-3)^n)/(2^(n+1)+(-3)^(n+1)) n趋近无穷大的极限如题 lim n趋近无穷 3n^3+n^2-3/4n^3+2n+1的极限 求极限 lim n趋近无穷 (n+1)^2/2n^2-3要完整的计算过程和结果 (1+1/2+1/3+.+1/n)∧1/n当n趋近无群大时的极限