Mister Exam

Limit of the function cot(n)

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The solution

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 lim cot(n)
n->oo      
limncot(n)\lim_{n \to \infty} \cot{\left(n \right)}
Limit(cot(n), n, 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
02468-8-6-4-2-1010-200200
Other limits n→0, -oo, +oo, 1
limncot(n)=,\lim_{n \to \infty} \cot{\left(n \right)} = \left\langle -\infty, \infty\right\rangle
limn0cot(n)=\lim_{n \to 0^-} \cot{\left(n \right)} = -\infty
More at n→0 from the left
limn0+cot(n)=\lim_{n \to 0^+} \cot{\left(n \right)} = \infty
More at n→0 from the right
limn1cot(n)=cot(1)\lim_{n \to 1^-} \cot{\left(n \right)} = \cot{\left(1 \right)}
More at n→1 from the left
limn1+cot(n)=cot(1)\lim_{n \to 1^+} \cot{\left(n \right)} = \cot{\left(1 \right)}
More at n→1 from the right
limncot(n)=,\lim_{n \to -\infty} \cot{\left(n \right)} = \left\langle -\infty, \infty\right\rangle
More at n→-oo
Rapid solution [src]
<-oo, oo>
,\left\langle -\infty, \infty\right\rangle
The graph
Limit of the function cot(n)