Some **really cool** maths: $$ \exp(i\pi) + 1 \quad = \quad 0 $$ We can show this with some code: ```julia:ex1 x = exp(im*π) + 1 ``` that looks close to zero but ```julia:ex2 x ≈ 0 ``` however ```julia:ex3 abs(x) < eps() ``` #### Conclusion The equation is proven thanks to our very rigorous proof.