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

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

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

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

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

).-|||-(1)证明:limxn存在,并求该极限.-|||-n→∞-|||-(2)计算 lim _(narrow infty )((dfrac {{x)_(

求极限lim _(narrow infty )dfrac ({2)^n+(3)^n+(7)^n}({5)^n+(8)^n}lim _(narrow infty

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

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