Question 633260
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For very small angles.


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ \lim_{\theta\,\rightarrow\,0}\,\frac{\sin(\theta)}{\theta}]


Which is a L'Hôpital indeterminate form, so:


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ \lim_{\theta\,\rightarrow\,0}\,\frac{\frac{d\sin(\theta)}{d\theta}}{\frac{d\theta}{d\theta}}\ =\ \lim_{\theta\,\rightarrow\,0}\,\frac{\cos(\theta)}{1}\ =\ 1]



John
*[tex \LARGE e^{i\pi}\ +\ 1\ =\ 0]
My calculator said it, I believe it, that settles it
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