math

PI Limit Representation

Checking online, I couldn’t find any simple pi limit representations. Usually they involve a sum or product of numbers, but not a simple limit.

The best I found was wolfram’s PI limit representations, which seemed overly complicated.

I’ve noticed all limit representations take advantage of the following property:

$half_factorial$

After a bit of analysis, I found much simpler ways to get PI with limits to infinity.

There are multiple ways to display the same thing. Find your favorite variant.

$factorial_div_root$

$gamma_root$

$gamma_plus$

$factorial_minus$

Using $euler$ , we can plug in our π limits, to get this:

$exp_2pi$