Thursday 11 July 2013

complex numbers - Why is $cos(i)-i sin(i)=e$?

When I was typing $\cos(i)-i \sin(i)$ into the calculator, I found out that it is equal to e (Euler's Constant). I was amazed by that "discovery" so I checked in on the internet and there was no results. Someone please explain the connection of imaginary numbers and Euler's Constant.

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

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