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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   /
$$\lim_{x \to \infty}\left(\frac{\operatorname{acot}{\left(x \right)}}{2}\right)$$ 
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
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Other limits x→0, -oo, +oo, 1
$$\lim_{x \to \infty}\left(\frac{\operatorname{acot}{\left(x \right)}}{2}\right) = 0$$
$$\lim_{x \to 0^-}\left(\frac{\operatorname{acot}{\left(x \right)}}{2}\right) = - \frac{\pi}{4}$$
More at x→0 from the left
$$\lim_{x \to 0^+}\left(\frac{\operatorname{acot}{\left(x \right)}}{2}\right) = \frac{\pi}{4}$$
More at x→0 from the right
$$\lim_{x \to 1^-}\left(\frac{\operatorname{acot}{\left(x \right)}}{2}\right) = \frac{\pi}{8}$$
More at x→1 from the left
$$\lim_{x \to 1^+}\left(\frac{\operatorname{acot}{\left(x \right)}}{2}\right) = \frac{\pi}{8}$$
More at x→1 from the right
$$\lim_{x \to -\infty}\left(\frac{\operatorname{acot}{\left(x \right)}}{2}\right) = 0$$
More at x→-oo
Rapid solution [src] 
0
$$0$$
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The graph
Limit of the function acot(x)/2
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