Sliders for θ and n draw n steps of ×(1 + iθ/n) starting from 1; readouts show the final length approaching 1 and the final angle approaching θ.
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The partial products of (1 + iθ/n)ⁿ trace a chain that converges, as n grows, to the point on the unit circle at angle θ, which is eⁱᶿ.
Builds on Complex multiplication. Taught in Euler’s formula.
Sliders for θ and n draw n steps of ×(1 + iθ/n) starting from 1; readouts show the final length approaching 1 and the final angle approaching θ.
The claim above is what this widget demonstrates. Disagree with it?