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log(x)/log(2)
Limit of the function/ log(x)/log(2)

Limit of the function log(x)/log(2)

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You have entered [src] 
     /log(x)\
 lim |------|
x->oo\log(2)/
lim⁡x→∞(log⁡(x)log⁡(2))\lim_{x \to \infty}\left(\frac{\log{\left(x \right)}}{\log{\left(2 \right)}}\right) 
Limit(log(x)/log(2), 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⁡(x)log⁡(2))=∞\lim_{x \to \infty}\left(\frac{\log{\left(x \right)}}{\log{\left(2 \right)}}\right) = \infty
lim⁡x→0−(log⁡(x)log⁡(2))=−∞\lim_{x \to 0^-}\left(\frac{\log{\left(x \right)}}{\log{\left(2 \right)}}\right) = -\infty
More at x→0 from the left
lim⁡x→0+(log⁡(x)log⁡(2))=−∞\lim_{x \to 0^+}\left(\frac{\log{\left(x \right)}}{\log{\left(2 \right)}}\right) = -\infty
More at x→0 from the right
lim⁡x→1−(log⁡(x)log⁡(2))=0\lim_{x \to 1^-}\left(\frac{\log{\left(x \right)}}{\log{\left(2 \right)}}\right) = 0
More at x→1 from the left
lim⁡x→1+(log⁡(x)log⁡(2))=0\lim_{x \to 1^+}\left(\frac{\log{\left(x \right)}}{\log{\left(2 \right)}}\right) = 0
More at x→1 from the right
lim⁡x→−∞(log⁡(x)log⁡(2))=∞\lim_{x \to -\infty}\left(\frac{\log{\left(x \right)}}{\log{\left(2 \right)}}\right) = \infty
More at x→-oo
The graph
Limit of the function log(x)/log(2)
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