# Mathematical Series

# Introduction

What happens when you had an infinite quantity of positive numbers?

That’s not a trivial question, because the answer is not straightforward. It depends on what kind of numbers you are summing!

There are two awesome outcomes coming with this question:

- According to the kind of numbers summed, the sum can either diverge (i.e. goes towards infinity), or converge (i.e. go towards a specific number).
- When converging to a specific number, sometimes this number is related to a famous constant such as π or e, or involves a famous function such as the natural logarithm.

Check the cheat sheet to see some of the most simple and surprising series and alternating series. We can observe the omnipresence of π and of the natural logarithm!