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\left\{\begin{matrix}a\geq \frac{\ln(E\left(x+1\right))+e^{x}-2}{x}\text{, }&\left(E<0\text{ and }x<-1\right)\text{ or }\left(E>0\text{ and }x>-1\text{ and }x<0\right)\\a=\frac{\ln(E\left(x+1\right))+e^{x}-2}{x}\text{, }&\left(E\geq e\text{ or }x\neq 0\right)\text{ and }E>0\text{ and }x>-1\\a\in \mathrm{R}\text{, }&E\geq e\text{ and }x=0\\a\leq \frac{\ln(E\left(x+1\right))+e^{x}-2}{x}\text{, }&E>0\text{ and }x>0\end{matrix}\right.
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