Find $\lim _{x \rightarrow 3}[g(x)-f(x)]$ For $f(x)=3 x^{3}$ And $g(x)=\frac{\sqrt{x^{2}+2}}{5 x^{2}}$

question 114

Multiple Choice

Find $\lim _{x \rightarrow 3}[g(x) -f(x) ]$ for $f(x) =3 x^{3}$ and $g(x) =\frac{\sqrt{x^{2}+2}}{5 x^{2}}$ .

• A) \( \frac{\sqrt{11}}{45}-81 \)
• B) \( \frac{\sqrt{3}}{5}-81 \)
• C) \( \frac{9 \sqrt{11}}{5} \)
• D) \( \frac{\sqrt{3}}{5}+81 \)
• E) limit does not exist

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