Evaluate \( \lim _{x \rightarrow 0} \frac{(1+x)^{1 / x}-e+\frac{1}{2} e x}{x^{2}} \)
Evaluate \( \lim _{x \rightarrow 0} \frac{(1+x)^{1 / x}-e+\frac{1}{2} e x}{x^{2}} \)
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