# Can You Interpret This Limit Geometrically?

**Calculus**Level 2

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

\(e \approx 2.71828\) denotes Euler's number.

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

\(e \approx 2.71828\) denotes Euler's number.

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