e sin2x _ e sinx Lime X-0

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( lim _{x rightarrow 0} frac{e^{sin 2 x}-e^{sin x}}{x} ) ( =lim _{x rightarrow 0} frac{2 cos x e^{sin 2 x}}{left[4 x e^{frac{1}{sin x}}right.} ) ( =frac{sqrt{10}}{1}=1 )

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