Mister Exam
Other calculators:
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How to use it?
- Limit of the function:
- Limit of 2016+965*e^(-168*x)*sin(-115+547*x)
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Limit of (-5+x)^(1/(-6+x))
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Limit of (-4+x^4+3*x^2)/(1+x^3-2*x)
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Limit of ((3+x)/(-5+x))^(-1+x)
- Derivative of:
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3*x^(2/3)
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Identical expressions
- three *x^(two / three)
- 3 multiply by x to the power of (2 divide by 3)
- three multiply by x to the power of (two divide by three)
- 3*x(2/3)
- 3*x2/3
- 3x^(2/3)
- 3x(2/3)
- 3x2/3
- 3x^2/3
- 3*x^(2 divide by 3)
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Similar expressions
- 16-16*x-13*x^2/3
- -2-6*x+13*x^2/3
- -4+11*x+13*x^2/3
- 5-4*x+13*x^2/3
- (1+3*x)^(2/(3*x))
Limit of the function 3*x^(2/3)
The solution
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/ 2/3\ lim \3*x / x->oo
$$\lim_{x \to \infty}\left(3 x^{\frac{2}{3}}\right)$$
Limit(3*x^(2/3), 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
$$\lim_{x \to \infty}\left(3 x^{\frac{2}{3}}\right) = \infty$$
$$\lim_{x \to 0^-}\left(3 x^{\frac{2}{3}}\right) = 0$$
More at x→0 from the left
$$\lim_{x \to 0^+}\left(3 x^{\frac{2}{3}}\right) = 0$$
More at x→0 from the right
$$\lim_{x \to 1^-}\left(3 x^{\frac{2}{3}}\right) = 3$$
More at x→1 from the left
$$\lim_{x \to 1^+}\left(3 x^{\frac{2}{3}}\right) = 3$$
More at x→1 from the right
$$\lim_{x \to -\infty}\left(3 x^{\frac{2}{3}}\right) = \infty \left(-1\right)^{\frac{2}{3}}$$
More at x→-oo
$$\lim_{x \to 0^-}\left(3 x^{\frac{2}{3}}\right) = 0$$
More at x→0 from the left
$$\lim_{x \to 0^+}\left(3 x^{\frac{2}{3}}\right) = 0$$
More at x→0 from the right
$$\lim_{x \to 1^-}\left(3 x^{\frac{2}{3}}\right) = 3$$
More at x→1 from the left
$$\lim_{x \to 1^+}\left(3 x^{\frac{2}{3}}\right) = 3$$
More at x→1 from the right
$$\lim_{x \to -\infty}\left(3 x^{\frac{2}{3}}\right) = \infty \left(-1\right)^{\frac{2}{3}}$$
More at x→-oo
The graph