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1/(n*log(n)^4)
Limit of the function/ 1/(n*log(n)^4)

Limit of the function 1/(n*log(n)^4)

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You have entered [src] 
     /      1    \
 lim |1*---------|
n->oo|       4   |
     \  n*log (n)/
lim⁡n→∞(1⋅1nlog⁡(n)4)\lim_{n \to \infty}\left(1 \cdot \frac{1}{n \log{\left(n \right)}^{4}}\right) 
Limit(1/(n*log(n)^4), n, 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
02468-8-6-4-2-1010020000
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Rapid solution [src] 
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Expand and simplify
Other limits n→0, -oo, +oo, 1
lim⁡n→∞(1⋅1nlog⁡(n)4)=0\lim_{n \to \infty}\left(1 \cdot \frac{1}{n \log{\left(n \right)}^{4}}\right) = 0
lim⁡n→0−(1⋅1nlog⁡(n)4)=−∞\lim_{n \to 0^-}\left(1 \cdot \frac{1}{n \log{\left(n \right)}^{4}}\right) = -\infty
More at n→0 from the left
lim⁡n→0+(1⋅1nlog⁡(n)4)=∞\lim_{n \to 0^+}\left(1 \cdot \frac{1}{n \log{\left(n \right)}^{4}}\right) = \infty
More at n→0 from the right
lim⁡n→1−(1⋅1nlog⁡(n)4)=∞\lim_{n \to 1^-}\left(1 \cdot \frac{1}{n \log{\left(n \right)}^{4}}\right) = \infty
More at n→1 from the left
lim⁡n→1+(1⋅1nlog⁡(n)4)=∞\lim_{n \to 1^+}\left(1 \cdot \frac{1}{n \log{\left(n \right)}^{4}}\right) = \infty
More at n→1 from the right
lim⁡n→−∞(1⋅1nlog⁡(n)4)=0\lim_{n \to -\infty}\left(1 \cdot \frac{1}{n \log{\left(n \right)}^{4}}\right) = 0
More at n→-oo
The graph
Limit of the function 1/(n*log(n)^4)
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