funksionit $$ y=\frac{2 x-3}{x^{2}-5 x+6} $$

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Find the vertical asymptotes of the function $$ y=\frac{2x-3}{x^2-5x+6} $$.
Function by following steps:
- step0: Find the vertical asymptotes:
  $$y=\frac{2x-3}{x^{2}-5x+6}$$
- step1: Evaluate the limit:
  $$\begin{align}&\lim _{xightarrow 2}\left(\frac{2x-3}{x^{2}-5x+6}ight)\&\lim _{xightarrow 3}\left(\frac{2x-3}{x^{2}-5x+6}ight)\end{align}$$
- step2: Calculate:
  $$\begin{align}&	extrm{The limit does not exist}\&	extrm{The limit does not exist}\end{align}$$
- step3: $$x=2$$ is a vertical asymptote$$:$$
  $$\begin{align}&x=2	extrm{ }	extrm{is a vertical asymptote}\&x=3	extrm{ }	extrm{is a vertical asymptote}\end{align}$$
- step4: List all vertical asymptotes of the function:
  $$\begin{align}&x=2\&x=3\end{align}$$
The vertical asymptotes of the function $$ y=\frac{2x-3}{x^2-5x+6} $$ are at $$ x=2 $$ and $$ x=3 $$.
The vertical asymptotes are at $$ x=2 $$ and $$ x=3 $$.

funksionit \( y=\frac{2 x-3}{x^{2}-5 x+6} \)

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