در تابع $g(x) = \left\{ {\begin{array}{*{20}{c}}{2x - 1\,\,\,\,\,\,\,\,\,\,\,\,\,\,x \le - 3}\\{x - 4\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,x \gt - 3}\end{array}} \right.$، حاصل $\mathop {\lim }\limits_{x \to {{( - 3)}^ + }} g(x) + \mathop {\lim }\limits_{x \to {{( - 3)}^ - }} g(x)$ کدام است؟
نمایش پاسخ
$\begin{array}{l}
\mathop {\lim }\limits_{x \to {{( - 3)}^ - }} g(x) = \mathop {\lim }\limits_{x \to {{( - 3)}^ - }} (2x - 1) = - 7\\
\mathop {\lim }\limits_{x \to {{( - 3)}^ + }} g(x) = \mathop {\lim }\limits_{x \to {{( - 3)}^ + }} (x - 4) = - 7\\
\mathop {\lim }\limits_{x \to {{( - 3)}^ + }} g(x) + \mathop {\lim }\limits_{x \to {{( - 3)}^ - }} g(x) = - 7 - 7 = - 14
\end{array}$