lim _(narrow infty )(2)^nsin dfrac (x)({2)^n}-|||-__(x为不等于零的常数)

求下列极限：lim _(narrow infty )(2)^nsin dfrac (x)({2)^n}-|||-__（x为不等于零的常数）求下列极限：（x为不等

填空题lim _(narrow infty )(2)^nsin dfrac (x)({2)^n}=____;2. 填空题____;

设(x)=lim _(narrow infty )dfrac ({x)^n+2}(sqrt {{2)^2n+(x)^2n}}，则(x)=lim _(narrow

设 (x)=lim _(narrow infty )dfrac ({x)^n+2-(x)^-n}({x)^n+(x)^-n} 则函数(x)=lim _(narr

求下列极限:-|||-lim _(narrow infty )(3)^nsin dfrac (x)({3)^n} _

设(x)=lim _(narrow infty )dfrac ({x)^2n-1+a(x)^2+bx}({x)^2n+1}-|||-+bx/，若(x)=lim

设函数(x)=lim _(narrow infty )dfrac ({x)^n+3}(sqrt {{3)^2n+(x)^2n}}(-infty lt xlt +

6.设 (x)=lim _(narrow infty )dfrac ({x)^2n-1+a(x)^2+bx}({x)^2n+1} 在 (-infty ,+inf

→(a)→∞-|||-lim _(narrow infty )(x)_(n)=+infty lim _(narrow infty )(y)_(n)=infty

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