Find all horizontal asymptotes of the given function, if any \( h(x)=\frac{9 x^{3}-6 x}{4 x^{3}-2 x+5} \)

Find the horizontal asymptotes of the function. Function by following steps: - step0: Find the horizontal asymptotes: \(y=\frac{9x^{3}-6x}{4x^{3}-2x+5}\) - step1: Evaluate the limits \(\lim _{x\rightarrow +\infty}\left(y\right)\) and \(\lim _{x\rightarrow -\infty}\left(y\right):\) \(\begin{align}&\lim _{x\rightarrow +\infty}\left(\frac{9x^{3}-6x}{4x^{3}-2x+5}\right)\\&\lim _{x\rightarrow -\infty}\left(\frac{9x^{3}-6x}{4x^{3}-2x+5}\right)\end{align}\) - step2: Calculate: \(\begin{align}&\frac{9}{4}\\&\frac{9}{4}\end{align}\) - step3: The finite values are horizontal asymptotes: \(\begin{align}&y=\frac{9}{4}\end{align}\) The function \( h(x)=\frac{9 x^{3}-6 x}{4 x^{3}-2 x+5} \) has a horizontal asymptote at \( y=\frac{9}{4} \).