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
(3)收敛, lim _(narrow infty )(2+dfrac (1)({n)^2})=2 --|||-(4)收敛, lim _(narrow inft
(6)收敛,lim_(ntoinfty)(2^n-1)/(3^n)=0.(6)收敛,$\lim_{n\to\infty}\frac{2^{n}-1}{3^{n}
59 lim_(n to infty ) sum_(i=1)^n (n)/(n^2)+i^(2+1)=____59 $\lim_{n \to \infty }
lim_(n→∞)(({2^n)+(3^n)})/(({2^n+1)+{3^n+1)}}= ____ .$\lim_{n→∞}\frac{{{2^n}+{3^n
+dfrac (1)({2)^n})-|||-1/2^n);(12)-|||-(13) lim _(narrow infty )dfrac ((n+1)(n+2
设x_(0)=0,x_(n)=(1+2x_(n-1))/(1+x_(n-1))(n=1,2,3,...),则lim_(ntoinfty)x_(n)=设$x_{0
(6)收敛, lim _(narrow infty )dfrac ({2)^n-1}({3)^n}=0.-|||-(7) n-dfrac {1)(n)} 发
2.按 -N 定义证明:-|||-(1) lim _(narrow infty )dfrac (n)(n+1)=1 ;-|||-(2) lim _(narrow
18 单选 lim_(n to infty) ((n)/(n+1))^n=( ).A. eB. 1C. 1/eD. ∞