(3) lim _(narrow infty )dfrac (sqrt {{n)^2-3n}}(2n+1)

(2) lim _(narrow infty )dfrac (3n+1)(2n+1)=dfrac (3)(2) ;

5.lim _(narrow infty )((dfrac {2n-3)(2n+1))}^n

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

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

根据数列极限的定义证明：lim _(narrow infty )dfrac (2n+1)(3n+1)=dfrac (2)(3)根据数列极限的定义证明：

用数列极限的定义证明：lim _(narrow infty )dfrac (3n+1)(2n+1)=dfrac (3)(2)-|||-__用数列极限的定义证明：

根据数列极限的定义证明:lim _(narrow infty )dfrac (3n+1)(2n+1)=dfrac (3)(2) __根据数列极限的定义证明:

根据数列极限的定义证明：lim _(narrow infty )dfrac (3n+1)(2n+1)=dfrac (3)(2);根据数列极限的定义证明：

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

lim _(narrow infty )dfrac ({2)^n+(3)^n}({2)^n+1+(3)^n+1}=________;________;