limit to Singularity

Calculus Level 4

limx0(1+e1x2tan11x2+xe1x2sin1x4)e1x2= ? \lim_{x \rightarrow 0}\left( 1+e^{-\frac{1}{x^{2}}}\tan^{-1}\dfrac{1}{x^{2}} + xe^{-\frac{1}{x^{2}}}\sin \dfrac{1}{x^{4}} \right) ^{e^{\frac{1}{x^{2}}}} = \ ?

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