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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->0+
lim⁡x→0+(xlog⁡(x))\lim_{x \to 0^+}\left(x \log{\left(x \right)}\right) 
Limit(x*log(x), x, 0)
The graph
02468-8-6-4-2-1010-2525
Plot the graph
Rapid solution [src] 
0
00
Expand and simplify
One‐sided limits [src] 
 lim (x*log(x))
x->0+
lim⁡x→0+(xlog⁡(x))\lim_{x \to 0^+}\left(x \log{\left(x \right)}\right) 
0
00 
= -0.0332270187868538
 lim (x*log(x))
x->0-
lim⁡x→0−(xlog⁡(x))\lim_{x \to 0^-}\left(x \log{\left(x \right)}\right) 
0
00 
= (0.00188965700203347 - 0.000780728554793218j)
= (0.00188965700203347 - 0.000780728554793218j)
Other limits x→0, -oo, +oo, 1
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
lim⁡x→∞(xlog⁡(x))=∞\lim_{x \to \infty}\left(x \log{\left(x \right)}\right) = \infty
More at x→oo
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
Numerical answer [src] 
-0.0332270187868538
-0.0332270187868538
The graph
Limit of the function x*log(x)
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