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

Limit of the function x^(1/3)

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You have entered [src] 
     3 ___
 lim \/ x 
x->oo
lim⁡x→∞x3\lim_{x \to \infty} \sqrt[3]{x} 
Limit(x^(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
02468-8-6-4-2-101004
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Rapid solution [src] 
oo
∞\infty
Expand and simplify
Other limits x→0, -oo, +oo, 1
lim⁡x→∞x3=∞\lim_{x \to \infty} \sqrt[3]{x} = \infty
lim⁡x→0−x3=0\lim_{x \to 0^-} \sqrt[3]{x} = 0
More at x→0 from the left
lim⁡x→0+x3=0\lim_{x \to 0^+} \sqrt[3]{x} = 0
More at x→0 from the right
lim⁡x→1−x3=1\lim_{x \to 1^-} \sqrt[3]{x} = 1
More at x→1 from the left
lim⁡x→1+x3=1\lim_{x \to 1^+} \sqrt[3]{x} = 1
More at x→1 from the right
lim⁡x→−∞x3=∞−13\lim_{x \to -\infty} \sqrt[3]{x} = \infty \sqrt[3]{-1}
More at x→-oo
The graph
Limit of the function x^(1/3)
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