use the graph of the function f to find the following values. if the limit does not exist, enter dne. a)…
use the graph of the function f to find the following values. if the limit does not exist, enter dne. a) limx→1f(x)
Answer
Explanation:
Step1: Analyze left - hand limit
As (x) approaches (1) from the left ((x\to1^{-})), we follow the part of the graph to the left of (x = 1). The (y) - value approaches (3).
Step2: Analyze right - hand limit
As (x) approaches (1) from the right ((x\to1^{+})), we follow the part of the graph to the right of (x = 1). The (y) - value approaches (3).
Step3: Determine the limit
Since (\lim_{x\to1^{-}}f(x)=\lim_{x\to1^{+}}f(x) = 3), then (\lim_{x\to1}f(x)=3).
Answer:
3