Prove that `root(3)(x^(3)+7)-root(3)(x^(3)+4)` is approximately equal to `1/x^(2)` when x is large.

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

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

int (x)^(1/3) (root(7)(1+root(3)(x^(4))))dx is equal to

(root(3)(x-x^(3)))/(x^(4))

Solve : root(4)(|x-3|^(x+1))=root(3)(|x-3|^(x-2)) .

Solve : root(4)(|x-3|^(x+1))=root(3)(|x-3|^(x-2)) .

Solve : root(4)(|x-3|^(x+1))=root(3)(|x-3|^(x-2)) .

lim_(x rarr0)(root(3)(1+x^(2))-root(4)(1-2x))/(x+x^(2)) is equal to

Prove that f(x)=root(3)(1-(x)^2 + root(3)(1+(x)^2) is an even function

Evaluate: int root(3)(x)root(3)(1+root(3)(x^(4)))dx