[题目] 求极限: lim _(xarrow -infty )dfrac (sqrt {4{x)^2+x-1}+x+1}(sqrt {{x)^2+sin x}}

[题目]-|||-lim _(xarrow infty )dfrac (sqrt {4{x)^2+x-1}+x+1}(sqrt {{x)^2+sin x}}=

[例3]求极限 lim _(xarrow infty )dfrac (sqrt {4{x)^2+x-1}+x+1}(sqrt {{x)^2+sin x}}

求下列极限:-|||-(6) lim _(xarrow +infty )(x)^dfrac (3{2)}(sqrt (x+2)-2sqrt (x+1)+sqrt

[题目]-|||-求 lim _(xarrow 0)dfrac (sqrt {2+tan x)-sqrt (2+sin x)}({x)^3}

3.求下列极限:-|||-(1) lim _(xarrow 0)sqrt ({x)^2-2x+5} ;-|||-(4 lim _(xarrow 0)dfrac

求极限 lim _(xarrow +infty )((x+sqrt {1+{x)^2})}^dfrac (1{x)}

[题目]求极限 lim _(xarrow infty )((sin dfrac {2)(x)+cos dfrac (1)(x))}^x= __

8.计算下列极限：(1) lim _(xarrow 0)dfrac (sin 4x)(sqrt {x+1)-1}(1) lim _(xarrow 0)dfrac

求极限 lim _(xarrow +infty )dfrac (ln (x+sqrt {{x)^2+1})-ln (x+sqrt ({x)^2-1})}( l

2.求极限 lim _(xarrow +infty )arcsin dfrac (x)(sqrt {{x)^2+1}+x}