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

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

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You have entered [src] 
        1    
 lim --------
n->oon*log(n)
lim⁡n→∞1nlog⁡(n)\lim_{n \to \infty} \frac{1}{n \log{\left(n \right)}} 
Limit(1/(n*log(n)), 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
02468-8-6-4-2-1010-2020
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Rapid solution [src] 
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Expand and simplify
Other limits n→0, -oo, +oo, 1
lim⁡n→∞1nlog⁡(n)=0\lim_{n \to \infty} \frac{1}{n \log{\left(n \right)}} = 0
lim⁡n→0−1nlog⁡(n)=∞\lim_{n \to 0^-} \frac{1}{n \log{\left(n \right)}} = \infty
More at n→0 from the left
lim⁡n→0+1nlog⁡(n)=−∞\lim_{n \to 0^+} \frac{1}{n \log{\left(n \right)}} = -\infty
More at n→0 from the right
lim⁡n→1−1nlog⁡(n)=−∞\lim_{n \to 1^-} \frac{1}{n \log{\left(n \right)}} = -\infty
More at n→1 from the left
lim⁡n→1+1nlog⁡(n)=∞\lim_{n \to 1^+} \frac{1}{n \log{\left(n \right)}} = \infty
More at n→1 from the right
lim⁡n→−∞1nlog⁡(n)=0\lim_{n \to -\infty} \frac{1}{n \log{\left(n \right)}} = 0
More at n→-oo
The graph
Limit of the function 1/(n*log(n))
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