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Limit of the function:
Limit of ((2+x)/(4+x))^cos(x)
Limit of (16+x^2+10*x)/(-6+x^2-x)
Limit of (1-3*x^2+2*x^3)/(x^3+2*x+4*x^2)
Limit of (-4-7*x+2*x^2)/(4-13*x+3*x^2)
Derivative of:
(x^2)^(1/3)
Integral of d{x}:
(x^2)^(1/3)
Graphing y =:
(x^2)^(1/3)
Identical expressions
(x^ two)^(one / three)
(x squared ) to the power of (1 divide by 3)
(x to the power of two) to the power of (one divide by three)
(x2)(1/3)
x21/3
(x²)^(1/3)
(x to the power of 2) to the power of (1/3)
x^2^1/3
(x^2)^(1 divide by 3)
Similar expressions
(-2+sqrt(x))/(-16+x^2)^(1/3)
x/(1-x^2)^(1/3)
(x+x^3+9*x^2)^(1/3)-x

Limit of the function/ (x^2)^(1/3)

Limit of the function (x^2)^(1/3)

The solution

You have entered [src]

        ____
     3 /  2 
 lim \/  x  
x->oo

\lim_{x \to \infty} \sqrt[3]{x^{2}}

Limit((x^2)^(1/3), x, oo, dir='-')

Lopital's rule

There is no sense to apply Lopital's rule to this function since there is no indeterminateness of 0/0 or oo/oo type

The graph

Plot the graph

Other limits x→0, -oo, +oo, 1

\lim_{x \to \infty} \sqrt[3]{x^{2}} = \infty

\lim_{x \to 0^-} \sqrt[3]{x^{2}} = 0

More at x→0 from the left

\lim_{x \to 0^+} \sqrt[3]{x^{2}} = 0

More at x→0 from the right

\lim_{x \to 1^-} \sqrt[3]{x^{2}} = 1

More at x→1 from the left

\lim_{x \to 1^+} \sqrt[3]{x^{2}} = 1

More at x→1 from the right

\lim_{x \to -\infty} \sqrt[3]{x^{2}} = \infty

More at x→-oo

Rapid solution [src]

oo

\infty

Expand and simplify

The graph

Limit of the function (x^2)^(1/3)