Factorial/Examples/1
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Example of Factorial
The factorial of $1$ is $1$:
- $1! = 1$
Proof
From the definition of factorial:
- $n! = \ds \prod_{k \mathop = 1}^n k$
where $\prod$ denotes continued product.
When $n = 1$ we have:
\(\ds 1!\) | \(=\) | \(\ds \prod_{k \mathop = 1}^1 k\) | ||||||||||||
\(\ds \) | \(=\) | \(\ds 1\) |
$\blacksquare$