Problem 4

Calculus Level 4

\[\large \lim_{m\to \infty}\left( \frac{2^3 - 1}{2^3 + 1} \cdot\frac{3^3 - 1}{3^3 + 1} \cdot\frac{4^3 - 1}{4^3 + 1} \cdots \frac{m^3 - 1}{m^3 + 1}\right) = \ ? \]

Give your answer to 3 decimal places.

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