求证1+1/2+1/3……+1/n-In(n+1) 存在极限
求证1+1/2+1/3……+1/n-In(n+1) 存在极限
证明:(1+n)^1/n极限存在
证明n为无穷大时,1+1/2^2+1/3^2+……+1/n^2的极限存在
1/(n+1)+1/(n+2)+1/(n+3)+ ……+1/3n 极限
求极限Xn=n/(n^2+1)+n/(n^2+2)+n/(n^2+3)+……+n/(n^2+n),
求证1+1/2+1/3+...+1/n>In(n+1) (n属于N+)
求证:1+1/2+1/3+...+1/n>In(n+1)+n/2(n+1) (n属于N+)
判断数列极限是否存在(-1)^n*1/n
求极限 lim n[1/(n^2+1)+1/(n^2+2^2)+……+1/(n^n+n^n)] (n趋向于无穷大,n^n
求极限lim(1/2n+3/4n+……+(2^n-1)/(2^n*n))
求证一列高数数列极限题:lim(3n^2+n)/(2n^2-1)=3/2
利用极限存在准则证明lim(n—>无穷)n^2[1/(n^2+1)^2+2/(n^2+2)^2+...+n/(n^2+n