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Omni-MATH / For all n≥1, let a_(n)=∑_(k=1)^(n−1)(sin(((2k−1)π)/(2n)))/(cos²(((k−1)π)/(2n))cos²((kπ)/(2n))). Determine lim_(n→∞)(a_(n))/(n³). · Discussion

Discussing For all n≥1, let a_(n)=∑_(k=1)^(n−1)(sin(((2k−1)π)/(2n)))/(cos²(((k−1)π)/(2n))cos²((kπ)/(2n))). Determine lim_(n→∞)(a_(n))/(n³). · Omni-MATH

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