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x*log(x)^3
Limit of the function/ x*log(x)^3

Limit of the function x*log(x)^3

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     /     3   \
 lim \x*log (x)/
x->oo
lim⁡x→∞(xlog⁡(x)3)\lim_{x \to \infty}\left(x \log{\left(x \right)}^{3}\right) 
Limit(x*log(x)^3, 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
02468-8-6-4-2-1010200-100
Plot the graph
Other limits x→0, -oo, +oo, 1
lim⁡x→∞(xlog⁡(x)3)=∞\lim_{x \to \infty}\left(x \log{\left(x \right)}^{3}\right) = \infty
lim⁡x→0−(xlog⁡(x)3)=0\lim_{x \to 0^-}\left(x \log{\left(x \right)}^{3}\right) = 0
More at x→0 from the left
lim⁡x→0+(xlog⁡(x)3)=0\lim_{x \to 0^+}\left(x \log{\left(x \right)}^{3}\right) = 0
More at x→0 from the right
lim⁡x→1−(xlog⁡(x)3)=0\lim_{x \to 1^-}\left(x \log{\left(x \right)}^{3}\right) = 0
More at x→1 from the left
lim⁡x→1+(xlog⁡(x)3)=0\lim_{x \to 1^+}\left(x \log{\left(x \right)}^{3}\right) = 0
More at x→1 from the right
lim⁡x→−∞(xlog⁡(x)3)=−∞\lim_{x \to -\infty}\left(x \log{\left(x \right)}^{3}\right) = -\infty
More at x→-oo
Rapid solution [src] 
oo
∞\infty
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Limit of the function x*log(x)^3
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