Mister Exam
Other calculators:
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How to use it?
- Limit of the function:
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Limit of (5+x-3*x^2)/(4-x+2*x^2)
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Limit of (4-x^2)/(3-x^2)
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Limit of (3+2*x)/(1-5*x)
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Limit of (1-2*cos(x))/sin(3*x)
- Graphing y =:
- log(x)^3
- Derivative of:
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log(x)^3
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Identical expressions
- log(x)^ three
- logarithm of (x) cubed
- logarithm of (x) to the power of three
- log(x)3
- logx3
- log(x)³
- log(x) to the power of 3
- logx^3
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Similar expressions
- x*log(2)^2*log(3)/log(x)^3
Limit of the function log(x)^3
The solution
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3 lim log (x) x->oo
$$\lim_{x \to \infty} \log{\left(x \right)}^{3}$$
Limit(log(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
$$\lim_{x \to \infty} \log{\left(x \right)}^{3} = \infty$$
$$\lim_{x \to 0^-} \log{\left(x \right)}^{3} = -\infty$$
More at x→0 from the left
$$\lim_{x \to 0^+} \log{\left(x \right)}^{3} = -\infty$$
More at x→0 from the right
$$\lim_{x \to 1^-} \log{\left(x \right)}^{3} = 0$$
More at x→1 from the left
$$\lim_{x \to 1^+} \log{\left(x \right)}^{3} = 0$$
More at x→1 from the right
$$\lim_{x \to -\infty} \log{\left(x \right)}^{3} = \infty$$
More at x→-oo
$$\lim_{x \to 0^-} \log{\left(x \right)}^{3} = -\infty$$
More at x→0 from the left
$$\lim_{x \to 0^+} \log{\left(x \right)}^{3} = -\infty$$
More at x→0 from the right
$$\lim_{x \to 1^-} \log{\left(x \right)}^{3} = 0$$
More at x→1 from the left
$$\lim_{x \to 1^+} \log{\left(x \right)}^{3} = 0$$
More at x→1 from the right
$$\lim_{x \to -\infty} \log{\left(x \right)}^{3} = \infty$$
More at x→-oo
The graph