Mister Exam
Other calculators:
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How to use it?
- Limit of the function:
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Limit of x^(1/3)
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Limit of |x|
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Limit of 16
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Limit of sin(x)
- Graphing y =:
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x^(1/3)
- Derivative of:
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x^(1/3)
- Integral of d{x}:
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x^(1/3)
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Identical expressions
- x^(one / three)
- x to the power of (1 divide by 3)
- x to the power of (one divide by three)
- x(1/3)
- x1/3
- x^1/3
- x^(1 divide by 3)
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Similar expressions
- x^(1/3)*log(3*x)
- (-2+(5+3*x)^(1/3))/(-1+x)
- ((-4+3*x)/(2+3*x))^(1/3+x/3)
- (1+x^5+3*x)^(1/3)/(1+x)
Limit of the function x^(1/3)
The solution
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3 ___ lim \/ x x->oo
$$\lim_{x \to \infty} \sqrt[3]{x}$$
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
Other limits x→0, -oo, +oo, 1
$$\lim_{x \to \infty} \sqrt[3]{x} = \infty$$
$$\lim_{x \to 0^-} \sqrt[3]{x} = 0$$
More at x→0 from the left
$$\lim_{x \to 0^+} \sqrt[3]{x} = 0$$
More at x→0 from the right
$$\lim_{x \to 1^-} \sqrt[3]{x} = 1$$
More at x→1 from the left
$$\lim_{x \to 1^+} \sqrt[3]{x} = 1$$
More at x→1 from the right
$$\lim_{x \to -\infty} \sqrt[3]{x} = \infty \sqrt[3]{-1}$$
More at x→-oo
$$\lim_{x \to 0^-} \sqrt[3]{x} = 0$$
More at x→0 from the left
$$\lim_{x \to 0^+} \sqrt[3]{x} = 0$$
More at x→0 from the right
$$\lim_{x \to 1^-} \sqrt[3]{x} = 1$$
More at x→1 from the left
$$\lim_{x \to 1^+} \sqrt[3]{x} = 1$$
More at x→1 from the right
$$\lim_{x \to -\infty} \sqrt[3]{x} = \infty \sqrt[3]{-1}$$
More at x→-oo
The graph