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Does 2ιπ=0?
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If, using Euler's equation, eιθ= cos(θ) ιsin(θ),

If you plug in 2π for theta, then you get e2ιπ=1

If you ln both sides, you get 2ιπ=0

How can this be?

If you then divide both sides by 2ιπ, you get 1=0, so this can't be true, but then how does the equation come out true?

I have proven Euler's equation by Laplace transforms, so I don't need a proof.

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Iamjj12

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11 years ago