اگر تابع $f(x)$ در $x = 1$ پیوسته باشد، مقدار a و b را بدست آورید.
$f(x) = \left\{ \begin{gathered}
ax + 3\,\,\,\,\,\,\,\,\,\,\,x \lt 1 \hfill \\
2\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,x = 1 \hfill \\
{x^2} + b\,\,\,\,\,\,\,\,\,\,x \gt 1 \hfill \\
\end{gathered} \right.$