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cos(n)/n
Limit of the function/ cos(n)/n

Limit of the function cos(n)/n

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     /cos(n)\
 lim |------|
n->oo\  n   /
lim⁡n→∞(cos⁡(n)n)\lim_{n \to \infty}\left(\frac{\cos{\left(n \right)}}{n}\right) 
Limit(cos(n)/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
02468-8-6-4-2-1010-2020
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Other limits n→0, -oo, +oo, 1
lim⁡n→∞(cos⁡(n)n)=0\lim_{n \to \infty}\left(\frac{\cos{\left(n \right)}}{n}\right) = 0
lim⁡n→0−(cos⁡(n)n)=−∞\lim_{n \to 0^-}\left(\frac{\cos{\left(n \right)}}{n}\right) = -\infty
More at n→0 from the left
lim⁡n→0+(cos⁡(n)n)=∞\lim_{n \to 0^+}\left(\frac{\cos{\left(n \right)}}{n}\right) = \infty
More at n→0 from the right
lim⁡n→1−(cos⁡(n)n)=cos⁡(1)\lim_{n \to 1^-}\left(\frac{\cos{\left(n \right)}}{n}\right) = \cos{\left(1 \right)}
More at n→1 from the left
lim⁡n→1+(cos⁡(n)n)=cos⁡(1)\lim_{n \to 1^+}\left(\frac{\cos{\left(n \right)}}{n}\right) = \cos{\left(1 \right)}
More at n→1 from the right
lim⁡n→−∞(cos⁡(n)n)=0\lim_{n \to -\infty}\left(\frac{\cos{\left(n \right)}}{n}\right) = 0
More at n→-oo
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Limit of the function cos(n)/n
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