Can You Interpret This Limit Geometrically?

Calculus Level 2

limnk=1ne2πikne2πi(k1)n=?\large \lim_{n \to \infty} \sum_{k = 1}^n \left|e^{\frac{2\pi ik}{n}} - e^{\frac{2\pi i(k-1)}{n}} \right| = \, ?

e2.71828e \approx 2.71828 denotes Euler's number.

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