求lim _(xarrow 3)dfrac (sqrt {x+1)-2}(x-3)

(7) lim _(xarrow 3)dfrac (sqrt {x+1)-2}(x-3)

计算函数极限(1)lim _(xarrow 1)dfrac (x-3)(x+2)(2)lim _(xarrow 1)dfrac (x-3)(x+2)(3)lim

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

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

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

求极限__-|||-lim _(xarrow -1)(dfrac (1)(x+1)-dfrac (3)({x)^3+1})求极限

3.求极限 lim _(xarrow 1)dfrac (sqrt [3]{x)-1}(sqrt {x)-1}

[题目]求 lim _(xarrow 2)dfrac (sqrt {3x-2)-2}(sqrt {2x-1)-sqrt (3)}

【题文】求下列极限lim _(xarrow 3)(dfrac (1)(x-3)-dfrac (6)({x)^2-9})-|||-__ __-|||-__【题文】

lim _(xarrow 0)dfrac (sqrt {x+1)-1}(x)= () ． ．