Question: (a) Find the limit

\[\underset{x\to \infty }{\mathop{\lim }}\,\left( \frac{{{x}^{3}}-2{{x}^{2}}}{16-2{{x}^{3}}} \right)\]

and explain what your answer tells you about the curve \(y=\frac{{{x}^{3}}-2{{x}^{2}}}{16-2{{x}^{3}}}\).

(b) Find the limit

\[\underset{x\to \infty }{\mathop{\lim }}\,\left( \frac{x}{{{x}^{2}}-5x} \right)\]

and explain what your answer tells you about the curve \(y=\frac{x}{{{x}^{2}}-5x}\)