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coth(x)

Limit of the function coth(x)

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 lim coth(x)
x->oo       
$$\lim_{x \to \infty} \coth{\left(x \right)}$$
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
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1
$$1$$
Other limits x→0, -oo, +oo, 1
$$\lim_{x \to \infty} \coth{\left(x \right)} = 1$$
$$\lim_{x \to 0^-} \coth{\left(x \right)} = -\infty$$
More at x→0 from the left
$$\lim_{x \to 0^+} \coth{\left(x \right)} = \infty$$
More at x→0 from the right
$$\lim_{x \to 1^-} \coth{\left(x \right)} = \frac{1 + e^{2}}{-1 + e^{2}}$$
More at x→1 from the left
$$\lim_{x \to 1^+} \coth{\left(x \right)} = \frac{1 + e^{2}}{-1 + e^{2}}$$
More at x→1 from the right
$$\lim_{x \to -\infty} \coth{\left(x \right)} = -1$$
More at x→-oo
The graph
Limit of the function coth(x)
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