1.利用 lim _(narrow infty )((1+dfrac {1)(n))}^n=e 求下列极限:-|||-(1) lim _(narrow infty )((1-dfrac {1)(n))}^n;-|||-(2) lim _(narrow infty )((1+dfrac {1)(n))}^n+1;-|||-(3) lim _(narrow infty )((1+dfrac {1)(n+1))}^n-|||-(4) lim _(narrow infty )((1+dfrac {1)(2n))}^n;-|||-(5) lim _(narrow infty )((1+dfrac {1)({n)^2})}^n

1.利用 lim _(narrow infty )((1+dfrac {1)(n))}^n=e 求下列极限:-|||-(1) lim _(narrow inft

1.利用数列极限的" -N 定义证明:-|||-(1) lim _(narrow infty )dfrac (1)({n)^2}=0;-|||-(2) lim

利用极限存在准则证明:(1) lim _(narrow infty )sqrt (1+dfrac {1)(n)}=1利用极限存在准则证明:(1)

求极限__-|||-lim _(narrow infty )dfrac (n)(ln n)(sqrt [n](n)-1).求极限.

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

__-|||-lim _(narrow infty )([ sin (dfrac {pi )(4)+dfrac (1)(n))] }^n=( )A.

(4) lim _(narrow infty )((1+dfrac {2)(n)+dfrac (2)({n)^2})}^n.

(3)收敛, lim _(narrow infty )(2+dfrac (1)({n)^2})=2 --|||-(4)收敛, lim _(narrow inft

极限lim _(narrow +infty )((dfrac {1)(3))}^n= A 0 B 1极限A0B1

根据数列极限定义证明：(1) lim _(narrow infty )dfrac (1)({n)^2}=0-|||-(2) lim _(narrow infty