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\[ \large \lim_{x \to 0} \left (1^{\frac 1 {\sin^2 x}} + 2^{\frac 1 {\sin^2 x}} + 3^{\frac 1 {\sin^2 x}} + \ldots + n^{\frac 1 {\sin^2 x}} \right )^{\sin^2 x } = \ ? \]

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