Most Beautiful Equation

The equation e^{i\pi}+1=0 is often called the most beautiful equation in mathematics because it relates five of the most important numbers. Can you find an equation that relates e,i,\pi,0,1, and 2.
Source: NCTM Mathematics Teacher

SOLUTION
e^{i\pi}+1=0
e^{i\pi}=-1
\left (e^{i\pi}\right )^2=\left (-1\right )^2
e^{2i\pi}=1
e^{2i\pi}-1=0

Answer: e^{2i\pi}-1=0

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About mvtrinh

Retired high school math teacher.
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