\( \lim _{x \rightarrow \infty} \frac{5 x^{3}-6}{\sqrt{9+4 x^{6}}} \)

1.	\( \lim _{x \rightarrow \infty} \frac{5 x^{3}-6}{\sqrt{9+4 x^{6}}} \)
Answer» \(\lim_\limits{x\to\infty}\frac{5x^3-6}{\sqrt{9+4x^6}}\) = \(\lim\limits_{x\to \infty}\cfrac{5-\frac6{x^3}}{\sqrt{\frac9{x^6}+4}}\) = \(\frac{5-0}{\sqrt{0+4}}=\frac52\)

Answer»

\(\lim_\limits{x\to\infty}\frac{5x^3-6}{\sqrt{9+4x^6}}\) = \(\lim\limits_{x\to \infty}\cfrac{5-\frac6{x^3}}{\sqrt{\frac9{x^6}+4}}\)

= \(\frac{5-0}{\sqrt{0+4}}=\frac52\)

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\( \lim _{x \rightarrow \infty} \frac{5 x^{3}-6}{\sqrt{9+4 x^{6}}} \)

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