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coth(x)
Limit of the function/ coth(x)

Limit of the function coth(x)

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You have entered [src] 
 lim coth(x)
x->oo
lim⁡x→∞coth⁡(x)\lim_{x \to \infty} \coth{\left(x \right)} 
Limit(coth(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
02468-8-6-4-2-1010-2020
Plot the graph
Other limits x→0, -oo, +oo, 1
lim⁡x→∞coth⁡(x)=1\lim_{x \to \infty} \coth{\left(x \right)} = 1
lim⁡x→0−coth⁡(x)=−∞\lim_{x \to 0^-} \coth{\left(x \right)} = -\infty
More at x→0 from the left
lim⁡x→0+coth⁡(x)=∞\lim_{x \to 0^+} \coth{\left(x \right)} = \infty
More at x→0 from the right
lim⁡x→1−coth⁡(x)=coth⁡(1)\lim_{x \to 1^-} \coth{\left(x \right)} = \coth{\left(1 \right)}
More at x→1 from the left
lim⁡x→1+coth⁡(x)=coth⁡(1)\lim_{x \to 1^+} \coth{\left(x \right)} = \coth{\left(1 \right)}
More at x→1 from the right
lim⁡x→−∞coth⁡(x)=−1\lim_{x \to -\infty} \coth{\left(x \right)} = -1
More at x→-oo
Rapid solution [src] 
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The graph
Limit of the function coth(x)
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