If ${\cot }^{-1}(\alpha )={\cot }^{-1}2+{\cot }^{-1}8+{\cot }^{-1}18+{\cot }^{-1}32+\ldots .$ upto 100 terms, then $ \alpha $ is : [JEE Main 2021, 17 Mar (Shift 1)]

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If \({\cot }^{-1}(\alpha )={\cot }^{-1}2+{\cot }^{-1}8+{\cot }^{-1}18+{\cot }^{-1}32+\ldots .\) upto 100 terms, then \( …

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