Mister Exam
Other calculators:
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How to use it?
- Limit of the function:
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Limit of x*log(x)
- Limit of factorial(x)
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Limit of exp(x)/x
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Limit of tan(4*x)
- Derivative of:
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x*log(x)
- Integral of d{x}:
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x*log(x)
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Identical expressions
- x*log(x)
- x multiply by logarithm of (x)
- xlog(x)
- xlogx
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Similar expressions
- cot(x)*log(x+e^x)
- x^log(x)
- exp(-x)*log(x)
- acos(x)^log(x)
Limit of the function x*log(x)
The solution
You have entered
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lim (x*log(x)) x->0+
$$\lim_{x \to 0^+}\left(x \log{\left(x \right)}\right)$$
Limit(x*log(x), x, 0)
The graph
One‐sided limits
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lim (x*log(x)) x->0+
$$\lim_{x \to 0^+}\left(x \log{\left(x \right)}\right)$$
0
$$0$$
= -0.0332270187868538
lim (x*log(x)) x->0-
$$\lim_{x \to 0^-}\left(x \log{\left(x \right)}\right)$$
0
$$0$$
= (0.00188965700203347 - 0.000780728554793218j)
= (0.00188965700203347 - 0.000780728554793218j)
Other limits x→0, -oo, +oo, 1
$$\lim_{x \to 0^-}\left(x \log{\left(x \right)}\right) = 0$$
More at x→0 from the left
$$\lim_{x \to 0^+}\left(x \log{\left(x \right)}\right) = 0$$
$$\lim_{x \to \infty}\left(x \log{\left(x \right)}\right) = \infty$$
More at x→oo
$$\lim_{x \to 1^-}\left(x \log{\left(x \right)}\right) = 0$$
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
More at x→0 from the left
$$\lim_{x \to 0^+}\left(x \log{\left(x \right)}\right) = 0$$
$$\lim_{x \to \infty}\left(x \log{\left(x \right)}\right) = \infty$$
More at x→oo
$$\lim_{x \to 1^-}\left(x \log{\left(x \right)}\right) = 0$$
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