For those who like pi mysteries

[studiot]

An interesting formula to brighten your weekend for all those who periodically post strange threads about pi and all things circular.

 

What is the following limit?

[math]\mathop {\lim }\limits_{k \to \infty } \pi k\left( {\exp \left( {\frac{r}{k}} \right) - \exp \left( {\frac{{ - r}}{k}} \right)} \right)[/math]

 

Edited September 1, 2017 by studiot

[mathematic]

2πr

[amplitude]

On 9/2/2017 at 7:36 AM, mathematic said:

2πr

Either that, or the most exquisite cup of tea you ever tasted...