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

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

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