lim⁡n→∞(1−122)(1−132)(1−142)…(1−1n2)\lim_{n \rightarrow \infty} \left( 1 - \frac{1}{2^2} \right) \left( 1 - \frac{1}{3^2} \right) \left( 1 - \frac{1}{4^2} \right) \dots \left( 1 - \frac{1}{n^2} \right)

Mathematics

Problem

lim⁡n→∞(1−122)(1−132)(1−142)…(1−1n2)\lim_{n \rightarrow \infty} \left( 1 - \frac{1}{2^2} \right) \left( 1 - \frac{1}{3^2} \right) \left( 1 - \frac{1}{4^2} \right) \dots \left( 1 - \frac{1}{n^2} \right)

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