QuestionEvaluate the limits and value for the piecewise function $g(x)$ at $x=1$ and $x=2$.

Studdy Solution
Finally, we evaluate the limit as $x$ approaches $2$ from both sides. Since the limits from the left and right are not equal, the limit does not exist. So,$$\lim{x \rightarrow2} g(x) = DNE$$Therefore, the solutions are(i) $\lim{x \rightarrow^{-}} g(x) =$ (ii) $\lim{x \rightarrow} g(x) =5$ (iii) $g() =5$ (iv) $\lim{x \rightarrow2^{-}} g(x) = -2$ (v) $\lim{x \rightarrow2^{+}} g(x) = -$ (vi) $\lim{x \rightarrow2} g(x) = DNE$