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log(2*x)

Limit of the function log(2*x)

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The solution

You have entered [src]
 lim log(2*x)
x->oo        
limxlog(2x)\lim_{x \to \infty} \log{\left(2 x \right)}
Limit(log(2*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
Other limits x→0, -oo, +oo, 1
limxlog(2x)=\lim_{x \to \infty} \log{\left(2 x \right)} = \infty
limx0log(2x)=\lim_{x \to 0^-} \log{\left(2 x \right)} = -\infty
More at x→0 from the left
limx0+log(2x)=\lim_{x \to 0^+} \log{\left(2 x \right)} = -\infty
More at x→0 from the right
limx1log(2x)=log(2)\lim_{x \to 1^-} \log{\left(2 x \right)} = \log{\left(2 \right)}
More at x→1 from the left
limx1+log(2x)=log(2)\lim_{x \to 1^+} \log{\left(2 x \right)} = \log{\left(2 \right)}
More at x→1 from the right
limxlog(2x)=\lim_{x \to -\infty} \log{\left(2 x \right)} = \infty
More at x→-oo
Rapid solution [src]
oo
\infty
The graph
Limit of the function log(2*x)