Solution: \[ \begin{array}{l} \lim _{z \rightarrow 0}\left(1+a x+b x^{2}\right)^{2 / x}=e^{3} \\...
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Solution:
\[
\begin{array}{l}
\lim _{z \rightarrow 0}\left(1+a x+b x^{2}\right)^{2 / x}=e^{3} \\
\Rightarrow e^{\lim _{e-10}\left(1+a z+b x^{2}-1\right) \times \frac{2}{x}}=e^{3} \\
\Rightarrow e^{\lim _{2 \rightarrow-0} \frac{2\left(a x+b a^{2}\right)}{z}}=e^{3}
\end{array}
\]
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