If `A={x:1 < x < 5},B={x: 3 < x < 7}`.Find `A nn B`.

Solve for x : tan^-1(x-1)+tan^-1 x+tan^-1(x+1)=tan^-1 3x

Examine the continuity of the following function at the given point : f(x) = {(x, 0 le x < 1/2),(1, x = 1/2),(1-x, 1/2 < x < 1):} at x = 1/2 .

Solve for x : tan^-1frac{1-x}{1+x}=1/2tan^-1 x,x>0

If f(x)=(x-1)/(x+1) ,then show that f(-1/x)=-1/f(x) .

Prove that f (x) = |x-1|,x in R is not differnentiable at x=1

Solve for x : |(1,1,1),(1,x,1),(1,1,x)|=0

Does f'(1) exist if f(x) = |x-1|+|x+1|

Find f {f (x)} if f(x)=(x+1)/(x-1)

If f(x)=(x-1)/(x+1) ,then show that f(1/x)=-f(x) .