" 2.(i)`sqrt(3x+1)-sqrt(x-1)=2`

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

lim_(xrarr oo)(sqrt(3x^2-1)+sqrt(2x^2-1))/(4x+3)=

If x is a solution of the equation sqrt(2x+1)-sqrt(2x-1)=1(x>=(1)/(2)) then sqrt(4x^(2)-1)=( i) (3)/(4)( ii) (1)/(2)( iii) 2 (iv) 2sqrt(2)

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

Differentiate the following function : (i) (x^(2) - 5x + 6)(x-3) , (ii) (sqrt(x) + 1/(sqrt(x)))^(2) , (iii) (3x^(2) + 2x + 5)/(sqrt(x))

(1+log_(2)(x-4))/(log_(sqrt(2))(sqrt(x+3)-sqrt(x-3)))=1

lim_(x rarr 5) (sqrt(2x-3)-sqrt(3x-8))/(sqrt(2x-1)-sqrt(3x-6))= _______.

Find the domain of the following functions :(i)f(x)=sqrt(2x1)+sqrt(3-2x)

lim_(x rarr 1) (sqrt(x+1)-sqrt(5x-3))/(sqrt(2x+3)-sqrt(4x+1))= _________.

Differentiate (sqrt(x^(2)+1)+sqrt(x^(2)-1))/(sqrt(x^(2)+1)-sqrt(x^(2)-1)) with respect to x: