\[Evaluate:\,\,\mathop {\lim }\limits_{x \to {0^ + }} {\left( {1 + \sin 4x} \right)^{\cot x}}\]
\[Evaluate:\,\,\mathop {\lim }\limits_{x \to {0^ + }} {\left( {1 + \sin 4x} \right)^{\cot x}}\]
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