$$ \lim_{x \to \infty} \frac{x-2}{\sqrt{9x^2+4}} $$
Step 2:
To evaluate this limit, we can divide both the numerator and the denominator by the highest power of $x$ in the denominator. In the denominator, we have $\sqrt{9x^2+4}$. For large $x$, $\sqrt{9x^2+4}$
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