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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)/
$$\lim_{x \to \infty}\left(\frac{\log{\left(x \right)}}{\log{\left(2 \right)}}\right)$$ 
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
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Rapid solution [src] 
oo
$$\infty$$
Expand and simplify
Other limits x→0, -oo, +oo, 1
$$\lim_{x \to \infty}\left(\frac{\log{\left(x \right)}}{\log{\left(2 \right)}}\right) = \infty$$
$$\lim_{x \to 0^-}\left(\frac{\log{\left(x \right)}}{\log{\left(2 \right)}}\right) = -\infty$$
More at x→0 from the left
$$\lim_{x \to 0^+}\left(\frac{\log{\left(x \right)}}{\log{\left(2 \right)}}\right) = -\infty$$
More at x→0 from the right
$$\lim_{x \to 1^-}\left(\frac{\log{\left(x \right)}}{\log{\left(2 \right)}}\right) = 0$$
More at x→1 from the left
$$\lim_{x \to 1^+}\left(\frac{\log{\left(x \right)}}{\log{\left(2 \right)}}\right) = 0$$
More at x→1 from the right
$$\lim_{x \to -\infty}\left(\frac{\log{\left(x \right)}}{\log{\left(2 \right)}}\right) = \infty$$
More at x→-oo
The graph
Limit of the function log(x)/log(2)
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