If \( \mathrm{f}(\mathrm{x})=\frac{\sqrt{\mathrm{x}^{2}+2}}{3 \math...

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If \( \mathrm{f}(\mathrm{x})=\frac{\sqrt{\mathrm{x}^{2}+2}}{3 \mathrm{x}-6} \), then
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(a) \( \lim _{x \rightarrow-\infty} \mathrm{f}(\mathrm{x})=-\frac{1}{3} \)
(b) \( \lim _{x \rightarrow \infty} \mathrm{f}(\mathrm{x})=\frac{1}{3} \)
(c) \( \lim _{x \rightarrow-\infty} f(x)=\frac{1}{3} \)
(d) \( \lim _{x \rightarrow \infty} \mathrm{f}(\mathrm{x})=-\frac{1}{3} \)
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