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PrecalculusSuperchallengeIntroduction to Limits

Introduction to Limits · Superchallenge problem

Evaluate lim⁡n→∞23−123+1⋅33−133+1⋅43−143+1⋯n3−1n3+1\displaystyle\lim_{n \to \infty} \frac{2^3 - 1}{2^3 + 1}\cdot\frac{3^3 - 1}{3^3 + 1}\cdot\frac{4^3 - 1}{4^3 + 1}\cdots\frac{n^3 - 1}{n^3 + 1}.