232

f\left(x\right)=\begin{cases}
3x-6{,}&kun\ x\le6\\
\frac{x^2-36}{x-6}&kun\ x>6
\end{cases}
\lim_{x\rightarrow6-}=3\cdot6-6=12
\lim_{x\rightarrow6+}=\frac{6^2-36}{6-6}=\frac{0}{0}
pitää sieventää
\frac{\left(x-6\right)\left(x+6\right)}{x-6}=x+6
\lim_{x\rightarrow6+}=6+6=12
raja-arvo on olemassa