Mister Exam
Other calculators:
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How to use it?
- Limit of the function:
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Limit of coth(x)
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Limit of log(n)/sqrt(n)
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Limit of tan(x)/(x^2*cot(3*x))
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Limit of z*sin(1/z)
- Integral of d{x}:
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coth(x)
- Derivative of:
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coth(x)
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Identical expressions
- coth(x)
- hyperbolic co tangent of gent of (x)
- cothx
Limit of the function coth(x)
The solution
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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
The graph
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
$$\lim_{x \to 1^-} \coth{\left(x \right)} = \coth{\left(1 \right)}$$
More at x→1 from the left
$$\lim_{x \to 1^+} \coth{\left(x \right)} = \coth{\left(1 \right)}$$
More at x→1 from the right
$$\lim_{x \to -\infty} \coth{\left(x \right)} = -1$$
More at x→-oo
$$\lim_{x \to 0^-} \coth{\left(x \right)} = -\infty$$
More at x→0 from the left
$$\lim_{x \to 0^+} \coth{\left(x \right)} = \infty$$
More at x→0 from the right
$$\lim_{x \to 1^-} \coth{\left(x \right)} = \coth{\left(1 \right)}$$
More at x→1 from the left
$$\lim_{x \to 1^+} \coth{\left(x \right)} = \coth{\left(1 \right)}$$
More at x→1 from the right
$$\lim_{x \to -\infty} \coth{\left(x \right)} = -1$$
More at x→-oo
The graph