For $$ s(x)=\frac{4 x^{2}+3 x-5}{x^{2}+2} $$, (a) Identify the horizontal asymptotes (if any). (b) If the graph of the function has a horizontal asymptote, determine the point (if any) where the graph crosses the horizontal asymptote(s Separate multiple equations of asymptotes with commas as necessary. Select "None" if applicable.

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Find the horizontal asymptotes of the function $$ s(x)=\frac{4x^2+3x-5}{x^2+2} $$.
Function by following steps:
- step0: Find the horizontal asymptotes:
  $$s\left(xight)=\frac{4x^{2}+3x-5}{x^{2}+2}$$
- step1: Evaluate the limits $$\lim _{xightarrow +\infty}\left(s\left(xight)ight)$$ and $$\lim _{xightarrow -\infty}\left(s\left(xight)ight):$$
  $$\begin{align}&\lim _{xightarrow +\infty}\left(\frac{4x^{2}+3x-5}{x^{2}+2}ight)\&\lim _{xightarrow -\infty}\left(\frac{4x^{2}+3x-5}{x^{2}+2}ight)\end{align}$$
- step2: Calculate:
  $$\begin{align}&4\&4\end{align}$$
- step3: The finite values are horizontal asymptotes:
  $$\begin{align}&s\left(xight)=4\end{align}$$
The horizontal asymptote of the function $$ s(x) = \frac{4x^2+3x-5}{x^2+2} $$ is $$ y = 4 $$.

Therefore, the horizontal asymptote is $$ y = 4 $$.
The horizontal asymptote is $$ y = 4 $$.

For ,
(a) Identify the horizontal asymptotes (if any).
(b) If the graph of the function has a horizontal asymptote, determine the point (if any) where the graph crosses the horizontal asymptote(s
Separate multiple equations of asymptotes with commas as necessary. Select “None” if applicable.

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For , (a) Identify the horizontal asymptotes (if any). (b) If the graph of the function has a horizontal asymptote, determine the point (if any) where the graph crosses the horizontal asymptote(s Separate multiple equations of asymptotes with commas as necessary. Select “None” if applicable.