" 0."sqrt((1-sqrt(x))/(1+sqrt(x)))

d/(dx){Cot^(-1)""(sqrt(1+x)-sqrt(1-x))/(sqrt(1+x)+sqrt(1-x))}

Rationalise: (sqrt(1+x)-sqrt(1-x))/(sqrt(1+x)+sqrt(1-x))

Differentiate (sqrt(1+x)-sqrt(1-x))/(sqrt(1+x)+sqrt(1-x))

Solve : (sqrt(1+x)-sqrt(1-x))/(sqrt(1+x)+sqrt(1-x))

sqrt(4-sqrt(1-x))-sqrt(2-x)>0

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

underset(x to 0)"Lt" (sqrt(1-x)-sqrt(1-x^(2)))/(sqrt(1+x^(2))-sqrt(1+x))=

int_(0)^(1)sin^(-1)(x sqrt(1-x)-sqrt(x)sqrt(1-x^(2)))dx

If x>1 and (sqrt(x+1)+sqrt(x-1))/(sqrt(x+1)-sqrt(x-1))=2 then x

If x= sqrt3/2 , then the value of (sqrt(1+x)+ sqrt(1-x))/(sqrt(1+x)- sqrt(1-x)) is equal to: यदि x= sqrt3/2 , (sqrt(1+x)+ sqrt(1-x))/(sqrt(1+x)- sqrt(1-x)) का मान ज्ञात करें :