Mister Exam

Limit of the function factorial(n)

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The solution

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 lim n!
n->oo  
limnn!\lim_{n \to \infty} n!
Limit(factorial(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
Rapid solution [src]
oo
\infty
Other limits n→0, -oo, +oo, 1
limnn!=\lim_{n \to \infty} n! = \infty
limn0n!=1\lim_{n \to 0^-} n! = 1
More at n→0 from the left
limn0+n!=1\lim_{n \to 0^+} n! = 1
More at n→0 from the right
limn1n!=1\lim_{n \to 1^-} n! = 1
More at n→1 from the left
limn1+n!=1\lim_{n \to 1^+} n! = 1
More at n→1 from the right
limnn!=()!\lim_{n \to -\infty} n! = \left(-\infty\right)!
More at n→-oo