Mister Exam
Other calculators:
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How to use it?
- Limit of the function:
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Limit of (1+3*x)^(5/x)
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Limit of e^(1+3*x)*(-1+x)
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Limit of x*sin(2*x)/3
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Limit of ((3+n)/(5+n))^(4+n)
- Derivative of:
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(x^2)^(1/3)
- Graphing y =:
- (x^2)^(1/3)
- Integral of d{x}:
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(x^2)^(1/3)
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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)
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Similar expressions
- (x+x^3+9*x^2)^(1/3)-x
- (-2+sqrt(x))/(-16+x^2)^(1/3)
- x/(1-x^2)^(1/3)
Limit of the function (x^2)^(1/3)
The solution
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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
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
$$\lim_{x \to 0^-} \sqrt[3]{x^{2}} = 0$$
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
The graph