Sunday 1 December 2019

exponential function - What is the most intuitive explanation for euler's identity?




Is there any intuitive explanation for:
$$e^{i\pi} + 1 = 0$$




About whether this question is a duplicate, what is asked for is not a proof but an explanation that helps with the not-so-intuitive aspects of the identity.


Answer



Unit vectors in the opposite direction along the real line in the complex plane add to zero.



enter image description here


No comments:

Post a Comment

real analysis - How to find $lim_{hrightarrow 0}frac{sin(ha)}{h}$

How to find $\lim_{h\rightarrow 0}\frac{\sin(ha)}{h}$ without lhopital rule? I know when I use lhopital I easy get $$ \lim_{h\rightarrow 0}...