16.-|||-□A、 (int )_(0)^1xdx=lim _(narrow infty )sum _(n=1)^infty dfrac (i)(n)cdot dfrac (1)(n)=dfrac (1)(2)-|||-□B、如果f(x)在区间 [ -(a)_(1),1] 上连续,则 (int )_(-a)^af(x)dx=0-|||-C、如果f(x)在区间 [ -(a)_(3)b] 上连续,且 (x)geqslant 0, 则 (int )_(a)^bf(x)dxgeqslant 0-|||-□D、如果f(x)在区间[a,b]上连续,则当 neq b 时, (int )_(a)^bf(x)dx=-(int )_(b)^af(x)

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.

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

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

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

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

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

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

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

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