Evaluate lim⁡x→0(1+tan⁡2x)1/x\text{Evaluate } \lim_{x \to 0} (1 + \tan^2 \sqrt{x})^{1/x}

Problem

Evaluate lim⁡x→0(1+tan⁡2x)1/x\text{Evaluate } \lim_{x \to 0} (1 + \tan^2 \sqrt{x})^{1/x}

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