Mister Exam
Other calculators:
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How to use it?
- Limit of the function:
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Limit of x^2*(1/3-cos(8*x)/3)
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Limit of (-2+x^2-x)/(-2+x+3*x^2)
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Limit of (-1+sin(x))/cos(x)
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Limit of (-2*sin(x)+sin(2*x))/(x*log(cos(5*x)))
- Graphing y =:
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-x*log(x)
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Identical expressions
- -x*log(x)
- minus x multiply by logarithm of (x)
- -xlog(x)
- -xlogx
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Similar expressions
- 3^(-x)*log(x)
- (1-x)*log(x)/log(2)
- x*log(x)
- 2*(1-x)*log(x)
- -1+x^2-e+e^(-x)*log(x)
Limit of the function -x*log(x)
The solution
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lim (-x*log(x)) x->oo
$$\lim_{x \to \infty}\left(- x \log{\left(x \right)}\right)$$
Limit((-x)*log(x), 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
$$\lim_{x \to \infty}\left(- x \log{\left(x \right)}\right) = -\infty$$
$$\lim_{x \to 0^-}\left(- x \log{\left(x \right)}\right) = 0$$
More at x→0 from the left
$$\lim_{x \to 0^+}\left(- x \log{\left(x \right)}\right) = 0$$
More at x→0 from the right
$$\lim_{x \to 1^-}\left(- x \log{\left(x \right)}\right) = 0$$
More at x→1 from the left
$$\lim_{x \to 1^+}\left(- x \log{\left(x \right)}\right) = 0$$
More at x→1 from the right
$$\lim_{x \to -\infty}\left(- x \log{\left(x \right)}\right) = \infty$$
More at x→-oo
$$\lim_{x \to 0^-}\left(- x \log{\left(x \right)}\right) = 0$$
More at x→0 from the left
$$\lim_{x \to 0^+}\left(- x \log{\left(x \right)}\right) = 0$$
More at x→0 from the right
$$\lim_{x \to 1^-}\left(- x \log{\left(x \right)}\right) = 0$$
More at x→1 from the left
$$\lim_{x \to 1^+}\left(- x \log{\left(x \right)}\right) = 0$$
More at x→1 from the right
$$\lim_{x \to -\infty}\left(- x \log{\left(x \right)}\right) = \infty$$
More at x→-oo
The graph