利用泰勒公式求下列极限:-|||-(1) lim _(xarrow +infty )(sqrt [3]({x)^3+3(x)^2}-sqrt [4]({x)^4-2(x)^3});-|||-(2) lim _(xarrow 0)dfrac (cos x-{e)^-dfrac ({x^2)(2)}({x)^2[ x+ln (1-x)] }-|||-(3) lim _(xarrow 0)dfrac (1+dfrac {1)(2)(x)^2-sqrt (1+{x)^2}}((cos x-{e)^(x^2))sin (x)^2}-|||-(4) lim _(xarrow infty )[ x-(x)^2ln (1+dfrac (1)(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lim _(xarrow 4)dfrac (sqrt {2x+1)-3}(sqrt {x-2)-sqrt (2)}求下列极限

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

.求下列极限:-|||-(6) lim _(xarrow 4)dfrac (sqrt {2x+1)-3}(sqrt {x-2)-sqrt (2)} ;

3.求下列极限:-|||-(1) lim _(xarrow 2)dfrac ({x)^2-3x-4}({x)^2-4} =-|||-(3) lim _(xarr

3.求下列极限:-|||-(1) lim _(xarrow 2)dfrac ({x)^2-3x-4}({x)^2-4} :-|||-(3) lim _(xarr

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

7.极限 lim _(xarrow 4)dfrac (sqrt {2x+1)-3}(sqrt {x)-2}= ()-|||-

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

15.计算下列极限:-|||-(1) lim _(xarrow 0)sqrt ({x)^2-4x+2} ;-|||-(3) lim _(xarrow 0)dfr