Mister Exam
Other calculators:
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How to use it?
- Limit of the function:
- Limit of factorial(n)
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Limit of cosh(1/x)
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Limit of factorial(x)/(1+2*x)
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Limit of 20
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Identical expressions
- factorial(n)
- factorialn
Limit of the function factorial(n)
The solution
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
Other limits n→0, -oo, +oo, 1
$$\lim_{n \to \infty} n! = \infty$$
$$\lim_{n \to 0^-} n! = 1$$
More at n→0 from the left
$$\lim_{n \to 0^+} n! = 1$$
More at n→0 from the right
$$\lim_{n \to 1^-} n! = 1$$
More at n→1 from the left
$$\lim_{n \to 1^+} n! = 1$$
More at n→1 from the right
$$\lim_{n \to -\infty} n! = \left(-\infty\right)!$$
More at n→-oo
$$\lim_{n \to 0^-} n! = 1$$
More at n→0 from the left
$$\lim_{n \to 0^+} n! = 1$$
More at n→0 from the right
$$\lim_{n \to 1^-} n! = 1$$
More at n→1 from the left
$$\lim_{n \to 1^+} n! = 1$$
More at n→1 from the right
$$\lim_{n \to -\infty} n! = \left(-\infty\right)!$$
More at n→-oo