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-x*log(x)
Limit of the function/ -x*log(x)

Limit of the function -x*log(x)

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You have entered [src] 
 lim (-x*log(x))
x->oo
lim⁡x→∞(−xlog⁡(x))\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
02468-8-6-4-2-1010-2525
Plot the graph
Rapid solution [src] 
-oo
−∞-\infty
Expand and simplify
Other limits x→0, -oo, +oo, 1
lim⁡x→∞(−xlog⁡(x))=−∞\lim_{x \to \infty}\left(- x \log{\left(x \right)}\right) = -\infty
lim⁡x→0−(−xlog⁡(x))=0\lim_{x \to 0^-}\left(- x \log{\left(x \right)}\right) = 0
More at x→0 from the left
lim⁡x→0+(−xlog⁡(x))=0\lim_{x \to 0^+}\left(- x \log{\left(x \right)}\right) = 0
More at x→0 from the right
lim⁡x→1−(−xlog⁡(x))=0\lim_{x \to 1^-}\left(- x \log{\left(x \right)}\right) = 0
More at x→1 from the left
lim⁡x→1+(−xlog⁡(x))=0\lim_{x \to 1^+}\left(- x \log{\left(x \right)}\right) = 0
More at x→1 from the right
lim⁡x→−∞(−xlog⁡(x))=∞\lim_{x \to -\infty}\left(- x \log{\left(x \right)}\right) = \infty
More at x→-oo
The graph
Limit of the function -x*log(x)
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