Mister Exam
Other calculators:
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How to use it?
- Limit of the function:
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Limit of (-4+x^2)/(x^3+2*x)
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Limit of (-12+x^2+4*x)/(-4+x^2)
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Limit of (-4+x^2+3*x)/(-3+x^2+2*x)
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Limit of (-10+x^2+3*x)/(16+x^2-10*x)
- Derivative of:
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sqrt(x^3)
- Integral of d{x}:
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sqrt(x^3)
- Sum of series:
- sqrt(x^3)
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Identical expressions
- sqrt(x^ three)
- square root of (x cubed )
- square root of (x to the power of three)
- √(x^3)
- sqrt(x3)
- sqrtx3
- sqrt(x³)
- sqrt(x to the power of 3)
- sqrtx^3
Limit of the function sqrt(x^3)
The solution
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lim \/ x
x->oo
$$\lim_{x \to \infty} \sqrt{x^{3}}$$
Limit(sqrt(x^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
$$\lim_{x \to \infty} \sqrt{x^{3}} = \infty$$
$$\lim_{x \to 0^-} \sqrt{x^{3}} = 0$$
More at x→0 from the left
$$\lim_{x \to 0^+} \sqrt{x^{3}} = 0$$
More at x→0 from the right
$$\lim_{x \to 1^-} \sqrt{x^{3}} = 1$$
More at x→1 from the left
$$\lim_{x \to 1^+} \sqrt{x^{3}} = 1$$
More at x→1 from the right
$$\lim_{x \to -\infty} \sqrt{x^{3}} = \infty i$$
More at x→-oo
$$\lim_{x \to 0^-} \sqrt{x^{3}} = 0$$
More at x→0 from the left
$$\lim_{x \to 0^+} \sqrt{x^{3}} = 0$$
More at x→0 from the right
$$\lim_{x \to 1^-} \sqrt{x^{3}} = 1$$
More at x→1 from the left
$$\lim_{x \to 1^+} \sqrt{x^{3}} = 1$$
More at x→1 from the right
$$\lim_{x \to -\infty} \sqrt{x^{3}} = \infty i$$
More at x→-oo
The graph