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

Limit of the function acot(x)/2

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     /acot(x)\
 lim |-------|
x->oo\   2   /
lim⁡x→∞(acot⁡(x)2)\lim_{x \to \infty}\left(\frac{\operatorname{acot}{\left(x \right)}}{2}\right) 
Limit(acot(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
02468-8-6-4-2-10102-2
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Other limits x→0, -oo, +oo, 1
lim⁡x→∞(acot⁡(x)2)=0\lim_{x \to \infty}\left(\frac{\operatorname{acot}{\left(x \right)}}{2}\right) = 0
lim⁡x→0−(acot⁡(x)2)=−π4\lim_{x \to 0^-}\left(\frac{\operatorname{acot}{\left(x \right)}}{2}\right) = - \frac{\pi}{4}
More at x→0 from the left
lim⁡x→0+(acot⁡(x)2)=π4\lim_{x \to 0^+}\left(\frac{\operatorname{acot}{\left(x \right)}}{2}\right) = \frac{\pi}{4}
More at x→0 from the right
lim⁡x→1−(acot⁡(x)2)=π8\lim_{x \to 1^-}\left(\frac{\operatorname{acot}{\left(x \right)}}{2}\right) = \frac{\pi}{8}
More at x→1 from the left
lim⁡x→1+(acot⁡(x)2)=π8\lim_{x \to 1^+}\left(\frac{\operatorname{acot}{\left(x \right)}}{2}\right) = \frac{\pi}{8}
More at x→1 from the right
lim⁡x→−∞(acot⁡(x)2)=0\lim_{x \to -\infty}\left(\frac{\operatorname{acot}{\left(x \right)}}{2}\right) = 0
More at x→-oo
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Limit of the function acot(x)/2
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