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log(0.5*x)
Limit of the function/ log(0.5*x)

Limit of the function log(0.5*x)

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You have entered [src] 
        /x\
 lim log|-|
x->oo   \2/
lim⁡x→∞log⁡(x2)\lim_{x \to \infty} \log{\left(\frac{x}{2} \right)} 
Limit(log(x/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
Other limits x→0, -oo, +oo, 1
lim⁡x→∞log⁡(x2)=∞\lim_{x \to \infty} \log{\left(\frac{x}{2} \right)} = \infty
lim⁡x→0−log⁡(x2)=−∞\lim_{x \to 0^-} \log{\left(\frac{x}{2} \right)} = -\infty
More at x→0 from the left
lim⁡x→0+log⁡(x2)=−∞\lim_{x \to 0^+} \log{\left(\frac{x}{2} \right)} = -\infty
More at x→0 from the right
lim⁡x→1−log⁡(x2)=−log⁡(2)\lim_{x \to 1^-} \log{\left(\frac{x}{2} \right)} = - \log{\left(2 \right)}
More at x→1 from the left
lim⁡x→1+log⁡(x2)=−log⁡(2)\lim_{x \to 1^+} \log{\left(\frac{x}{2} \right)} = - \log{\left(2 \right)}
More at x→1 from the right
lim⁡x→−∞log⁡(x2)=∞\lim_{x \to -\infty} \log{\left(\frac{x}{2} \right)} = \infty
More at x→-oo
Rapid solution [src] 
oo
∞\infty
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The graph
Limit of the function log(0.5*x)
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