`root(3)(x^(2))+root(3)(x^(2))=3`

Prove that root(3)(x^(3)+6)-root(3)(x^(3)+3) is approximately equal to 1/x^(2) when x is sufficiently large.

The value of the limit lim_(x rarr oo)(root(3)(x^(3)+x^(2))-root(3)(x^(3)-x^(2))) is equal to

If f(x)=root(3)((1-x^(2)))+root(3)((1+x^(2))) , then f(x) is :

lim_(xrarroo) root3(x)(root3((x+1)^(2))-root3((x-1)^(2)))=

Simplify root(5)(x^(4)root(4)(x^(3)root(3)(x^(2)sqrt(x))))

int(x+root(3)(x^(2))+root(6)(x))/(x(1+root(3)(x)))dx is equal to (i)(3)/(2)x(1+root(3)(x))(3)/(2)x^((2)/(3))+6tan^(-1)x^(6)+C( iii) (3)/(2)x^((2)/(3))+6tan^(-1)x^((1)/(6))+C( iv) (2)/(3)x^((2)/(3))+5tan^(-1)x^(6)+C

If root(3)(3(root(3)(x)-(1)/(root(3)(x)))) =2,then root(3)(x)-(1)/(root(3)(x))

If root(3)(3(root(3)(x)-(1)/(root(3)(x))))=2, then root(3)(x)-(1)/(root(3)(x))