if `a>0, b>1, x = (2ab)/(b^2+1)` then `(sqrt(a+x)-sqrt(a-x))/(sqrt(a+x)+sqrt(a-x))`

If x = (2ab)/(b^2+1) then value of (sqrt(a+x)+sqrt(a-x))/(sqrt(a+x)-sqrt(a-x)) is

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

sqrt(x+2sqrt(x-1))+sqrt(x-2sqrt(x-1))>(3)/(2)

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

Find Lt_(xto0)(sqrt(1+x)-sqrt(1+x^(2)))/(sqrt(1-x^(2))-sqrt(1-x))

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

If a,b are real and a^(2)+b^(2)=1, then show that the equation (sqrt(1+x)-i sqrt(1-x))/(sqrt(1+x)+i sqrt(1-x))=a-ib is satisfied y a real value of x.