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Question Number 22947 by ajfour last updated on 26/Oct/17

$$\underset{x\to \pi /2}{\lim }(1^{\sec {}^{2}x}+2^{\sec {}^{2}x}+3^{\sec {}^{2}x}+....$$$${...+n^{\sec {}^{2}x})}^{\cos {}^{2}x}=?$$$$$$

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