اگر $g\left( x \right)=\left\{ \begin{matrix}
{{x}^{2}}\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,x\le 1 \\
2x+1\,\,\,\,\,\,\,\,\,\,\,x\gt 1 \\
\end{matrix} \right.$، مقدار $\underset{x\to {{1}^{+}}}{\mathop{\lim }}\,\frac{g\left( x \right)-g\left( 1 \right)}{x-1}$ و $\underset{x\to {{1}^{-}}}{\mathop{\lim }}\,\frac{g\left( x \right)-g\left( 1 \right)}{x-1}$ به ترتیب کدام است؟
$+\infty $ و 2
2 )
2 و 2
3 )
2 و $+\infty $
4 )
$+\infty $ و $+\infty $
پاسخ تشریحی :
