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-x*log(x)^2
Limit of the function/ -x*log(x)^2

Limit of the function -x*log(x)^2

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     /      2   \
 lim \-x*log (x)/
x->0+
lim⁡x→0+(−xlog⁡(x)2)\lim_{x \to 0^+}\left(- x \log{\left(x \right)}^{2}\right) 
Limit((-x)*log(x)^2, x, 0)
The graph
02468-8-6-4-2-1010-10050
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Rapid solution [src] 
0
00
Expand and simplify
One‐sided limits [src] 
     /      2   \
 lim \-x*log (x)/
x->0+
lim⁡x→0+(−xlog⁡(x)2)\lim_{x \to 0^+}\left(- x \log{\left(x \right)}^{2}\right) 
0
00 
= -0.0145268477491906
     /      2   \
 lim \-x*log (x)/
x->0-
lim⁡x→0−(−xlog⁡(x)2)\lim_{x \to 0^-}\left(- x \log{\left(x \right)}^{2}\right) 
0
00 
= (0.0126046545241533 - 0.0122434670558655j)
= (0.0126046545241533 - 0.0122434670558655j)
Other limits x→0, -oo, +oo, 1
lim⁡x→0−(−xlog⁡(x)2)=0\lim_{x \to 0^-}\left(- x \log{\left(x \right)}^{2}\right) = 0
More at x→0 from the left
lim⁡x→0+(−xlog⁡(x)2)=0\lim_{x \to 0^+}\left(- x \log{\left(x \right)}^{2}\right) = 0
lim⁡x→∞(−xlog⁡(x)2)=−∞\lim_{x \to \infty}\left(- x \log{\left(x \right)}^{2}\right) = -\infty
More at x→oo
lim⁡x→1−(−xlog⁡(x)2)=0\lim_{x \to 1^-}\left(- x \log{\left(x \right)}^{2}\right) = 0
More at x→1 from the left
lim⁡x→1+(−xlog⁡(x)2)=0\lim_{x \to 1^+}\left(- x \log{\left(x \right)}^{2}\right) = 0
More at x→1 from the right
lim⁡x→−∞(−xlog⁡(x)2)=∞\lim_{x \to -\infty}\left(- x \log{\left(x \right)}^{2}\right) = \infty
More at x→-oo
Numerical answer [src] 
-0.0145268477491906
-0.0145268477491906
The graph
Limit of the function -x*log(x)^2
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