18 单选 lim_(n to infty) ((n)/(n+1))^n=( ).

lim_(n→∞)(({2^n)+(3^n)})/(({2^n+1)+{3^n+1)}}= ____ ．$\lim_{n→∞}\frac{{{2^n}+{3^n

2.lim_(n to infty)(sqrt(n+1)-sqrt(n))sqrt(n+1)=_____.2.$\lim_{n \to \infty}(\sqr

若lim_(n to infty) b_n = +infty, 则级数sum_(n=1)^infty ((1)/(b_n) - (1)/(b_(n+1)) )的

设 A_n = (0, (1)/(n))，n in N，则 lim_(n to infty) A_n = ( )A. $(0, 1)$B. $(0, \frac

类似地，可求lim_(ntoinfty)(n^n(n+1)^10)/(3^n)n!.类似地，可求$\lim_{n\to\infty}\frac{n^{n}(n+

求极限lim_(ntoinfty)(sqrt[n]((n+1)(n+2)...(n+n)))/(n).求极限$\lim_{n\to\infty}\frac{\s

根据数列极限的定义证明：(1) lim_(n to infty) (1)/(n^2) = 0;(2) lim_(n to infty) (3n+1)/(2n+1

【例43】lim_(ntoinfty)((1)/(n+1)+(1)/(n+2)+...+(1)/(n+n))=____【例43】$\lim_{n\to\inft

2.按 -N 定义证明:-|||-(1) lim _(narrow infty )dfrac (n)(n+1)=1 ;-|||-(2) lim _(narrow

12 lim_(n to infty) (1+2+3+...+(n-1))/(n^2);12 $\lim_{n \to \infty} \frac{1+2+3+