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

Prove that : tan^-1[(sqrt(1+x) - sqrt(1-x))/(sqrt1+x + sqrt1-x)] = pi/4 - 1/2cos^-1x

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

Prove that tan^(-1)((sqrt(1+x)-sqrt(1-sin x))/(sqrt(1+x)-sqrt(1-sin x)))=(pi)/(4)-(1)/(2)cos^(-1),-(1)/(sqrt(2))<=x<=1

underset(xrarr0)lim (sqrt(1+x^2)-sqrt(1+x))/(sqrt(1+x^2)+sqrt(1+x))

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

Evaluate : int(sqrt(x+1)-sqrt(x-1))/(sqrt(x+1)+sqrt(x-1))dx

int(sqrt(x+1)-sqrt(x-1))/(sqrt(x+1)+sqrt(x-1))dxVx+1-Vx-1

lim_(xrarr0) (sqrt(1+x^2)- sqrt(1+x))/(sqrt(1+x^3)-sqrt(1+x))