Question

use the graph of g shown to the right to find the limit. if necessary, state that the limit does not exist.
\\( \lim_{x \to 1^-} g(x) \\)

select the correct choice below and, if necessary, fill in the answer box to complete your choice.
\\( \bigcirc \\) a. \\( \lim_{x \to 1^-} g(x) = \square \\) (simplify your answer.)
\\( \bigcirc \\) b. the limit does not exist and is neither \\( \infty \\) nor \\( -\infty \\)

Explanation:

Step1: Understand left-hand limit

Left-hand limit at $x=1$ means approaching $x=1$ from values less than 1.

Step2: Check graph for left side

The line approaching $x=1$ from the left passes through points consistent with a linear function; at $x=1$, the left-side value is 3.

Answer:

A. $\lim_{x \to 1^-} G(x)=3$