Let `x = 2/((sqrt3+1)(root4(3)+1)(root8(3)+1)(root16(3)+1))`. Find `(x+1)^(32)`

lim_ (x rarr oo) (root (3) (1 + x) -root (3) (1-x)) / (x)

If x= ( root(3) (m+1) + root(3) (m-1))/( root(3) (m+1) - root(3) (m-1)) then the value of x^3 - 3mx^2 +3x -m is

int(root(3)(x))(root(5)(1+root(3)(x^(4))))dx

int 1/(root4 (x^3)) dx=

lim_(x rarr0)(root(3)(1+x)-root(3)(1-x))/(x)

lim_(x rarr0)(sqrt(1+x)-sqrt(1-x))/(root(3)(1+x)-root(3)(1-x))

lim_(x rarr0)(sqrt(1+x)-sqrt(1-x))/(root(3)(1+x)-root(3)(1-x))

lim_(x rarr0)(sqrt(1+x)-sqrt(1-x))/(root(3)(1+x)-root(3)(1-x))

Evaluate int(sqrt(1+root(3)(x)))/(root(3)(x^(2)))dx .