Let(adsbygoogle = window.adsbygoogle || []).push({}); kbe a real number (not necessarily an integer).

[tex]e^{i\cdot2\pi\cdot k}=\cos(2\pi k) + i\sin(2\pi k)=[/tex] some complex number on the unit circe.

BUT

[tex]e^{i\cdot2\pi\cdot k}=(e^{i2\pi})^k=1^k=1[/tex]

so if take [itex]\tilde{k}=2\pi k[/itex] then [itex]1=e^{i\tilde{k}}=[/itex]every other number on the unit circle.

How can this be explained??

Thanks.

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# Homework Help: Some contradiction I can't explain about e^(ix)

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