The Harmonic series is one of the most interesting mathematical objects. On the surface it seems really simple, add together 1⁄n for all positive integers n.
The resulting series looks like this: 1 + 1⁄2 + 1⁄3 + 1⁄4 + 1⁄5 + 1⁄6 + 1⁄7 + 1⁄8 + 1⁄9 + 1⁄10 + ...
So what is so interesting about this series? This sum has been proven to trend toward infinity as n approaches infinity!
Below is a simple calculator to demonstrate how counter-intuitive this result is!
