Evaluate the following limits: \[ \lim _{x \rightarrow 0} \frac{2 x^{2}+3 x+4}{x^{2}+3 x+2} \]

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Evaluate the following limits:
\[
\lim _{x \rightarrow 0} \frac{2 x^{2}+3 x+4}{x^{2}+3 x+2}
\]
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