做有理化dfrac (sqrt {x+2)-sqrt (3)}(x-1)

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

将dfrac ({x)^2}(1-sqrt {1+{x)^2}}进行分母有理化.将进行分母有理化.

(3) =dfrac (sqrt {x+2)((3-x))^4}({(x+1))^5}

int dfrac (dx)(sqrt [3]{{(x+1))^2((x-1))^4}}

int dfrac (dx)(sqrt [3]{{(x+1))^2((x-1))^4}}

int dfrac (dx)(sqrt [3]{{(x+1))^2((x-1))^4}}

[题目]设函数 =ln dfrac (sqrt {{x)^2+1}}(sqrt [3]{x+2)}(xgt -2), 则 (0)= ()-|||-

(int )_(0)^1dfrac (x+2)(sqrt {x+1)}dx=( )(int )_(0)^1dfrac (x+2)(sqrt {x+1)}dx=

4 单选 -|||-设函数 =ln dfrac (sqrt {{x)^2+1}}(sqrt [3]{x+2)}(xgt -2), 则 (0)=-|||-

(5) lim _(xarrow 1)dfrac (sqrt {5x-4)-sqrt (x)}(x-1) ;