Mister Exam
Other calculators:
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How to use it?
- Limit of the function:
-
Limit of x*log(x)
- Limit of factorial(x)
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Limit of exp(x)/x
-
Limit of tan(4*x)
- Derivative of:
- factorial(x)
- Graphing y =:
- factorial(x)
- Integral of d{x}:
- factorial(x)
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Identical expressions
- factorial(x)
- factorialx
Limit of the function factorial(x)
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
One‐sided limits
[src]
lim x! x->3+
$$\lim_{x \to 3^+} x!$$
6
$$6$$
= 6.0
lim x! x->3-
$$\lim_{x \to 3^-} x!$$
6
$$6$$
= 6.0
= 6.0
Other limits x→0, -oo, +oo, 1
$$\lim_{x \to 3^-} x! = 6$$
More at x→3 from the left
$$\lim_{x \to 3^+} x! = 6$$
$$\lim_{x \to \infty} x! = \infty$$
More at x→oo
$$\lim_{x \to 0^-} x! = 1$$
More at x→0 from the left
$$\lim_{x \to 0^+} x! = 1$$
More at x→0 from the right
$$\lim_{x \to 1^-} x! = 1$$
More at x→1 from the left
$$\lim_{x \to 1^+} x! = 1$$
More at x→1 from the right
$$\lim_{x \to -\infty} x! = \left(-\infty\right)!$$
More at x→-oo
More at x→3 from the left
$$\lim_{x \to 3^+} x! = 6$$
$$\lim_{x \to \infty} x! = \infty$$
More at x→oo
$$\lim_{x \to 0^-} x! = 1$$
More at x→0 from the left
$$\lim_{x \to 0^+} x! = 1$$
More at x→0 from the right
$$\lim_{x \to 1^-} x! = 1$$
More at x→1 from the left
$$\lim_{x \to 1^+} x! = 1$$
More at x→1 from the right
$$\lim_{x \to -\infty} x! = \left(-\infty\right)!$$
More at x→-oo