`(1)/(sqrt(x))(sqrt(x)-(1)/(sqrt(x)))^(3)`

((1+x).3sqrt(x))/(sqrt(x))

sqrt(x+1)-sqrt(x-1)=sqrt(4x-1)

int(sqrt(x))/(sqrt(1-x^(3)))

(1)/(sqrt(x)+sqrt(x+1))+(1)/(sqrt(x+1)+sqrt(x+2))+(1)/(sqrt(x+2)+sqrt(x+3))+...(1)/(sqrt(x+98)+sqrt(x+99))

if x=sqrt(3)+(1)/(sqrt(3)) and y=sqrt(3)-(1)/(sqrt(3)) then x^(2)-y^(2) is

(sqrt(x+1)+sqrt(x-1))/(sqrt(x+1)-sqrt(x-1))=3

int_(1)^(2)(sqrt(x)-sqrt(3-x))/(1+sqrt(x(3-x)))dx=.........

lim_(x rarr0)(sqrt(1+x^(2))-sqrt(1+x))/(sqrt(1+x^(3))-sqrt(1+x))

Evaluate the following limits: lim_(xrarr0)((sqrt(1+x^(2))-sqrt(1+x))/(sqrt(1+x^(3))-sqrt(1+x)))