[Math] How to represent factorial as a product notation

factorialproducts

Original question:
Is there any way to write $x!$ as a Pi notation?
$$x!=\prod\text{?}$$

The answer should have been obvious
$$x!=\prod_{r=1}^xr$$

Now I have an additional question:

Is it possible to write $\left(2(\ x+1 )\ \right)!$ as a product notation?
$$(2(x+1))!=\prod?$$

Best Answer

You can write like this:
$$x!=\prod_{r=1}^x\text{r}$$

For additional question:

$$(2x+2)!=\prod_{r=1}^{(2x+2)}\text{r}$$

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