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

Limit of the function log(1/x)

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You have entered [src] 
        /  1\
 lim log|1*-|
x->oo   \  x/
lim⁡x→∞log⁡(1⋅1x)\lim_{x \to \infty} \log{\left(1 \cdot \frac{1}{x} \right)} 
Limit(log(1/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
02468-8-6-4-2-10105-5
Plot the graph
Rapid solution [src] 
-oo
−∞-\infty
Expand and simplify
Other limits x→0, -oo, +oo, 1
lim⁡x→∞log⁡(1⋅1x)=−∞\lim_{x \to \infty} \log{\left(1 \cdot \frac{1}{x} \right)} = -\infty
lim⁡x→0−log⁡(1⋅1x)=∞\lim_{x \to 0^-} \log{\left(1 \cdot \frac{1}{x} \right)} = \infty
More at x→0 from the left
lim⁡x→0+log⁡(1⋅1x)=∞\lim_{x \to 0^+} \log{\left(1 \cdot \frac{1}{x} \right)} = \infty
More at x→0 from the right
lim⁡x→1−log⁡(1⋅1x)=0\lim_{x \to 1^-} \log{\left(1 \cdot \frac{1}{x} \right)} = 0
More at x→1 from the left
lim⁡x→1+log⁡(1⋅1x)=0\lim_{x \to 1^+} \log{\left(1 \cdot \frac{1}{x} \right)} = 0
More at x→1 from the right
lim⁡x→−∞log⁡(1⋅1x)=−∞\lim_{x \to -\infty} \log{\left(1 \cdot \frac{1}{x} \right)} = -\infty
More at x→-oo
The graph
Limit of the function log(1/x)
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