use the graph of f in the figure to find the following values or state that they do not exist. if a limit…

use the graph of f in the figure to find the following values or state that they do not exist. if a limit does not exist, explain why. a. f(0) b. lim f(x) x→0⁻ c. lim f(x) x→0⁺ d. lim f(x) x→0 a. lim f(x)=□ (type an integer or a fraction.) x→0⁻ b. the limit does not exist because f is not defined for all x near 0 with x < 0

use the graph of f in the figure to find the following values or state that they do not exist. if a limit does not exist, explain why. a. f(0) b. lim f(x) x→0⁻ c. lim f(x) x→0⁺ d. lim f(x) x→0 a. lim f(x)=□ (type an integer or a fraction.) x→0⁻ b. the limit does not exist because f is not defined for all x near 0 with x < 0

Answer

Answer:

A. $\lim_{x\to0^{-}}f(x) = 1$

Explanation:

Step1: Analyze the left - hand limit

The left - hand limit $\lim_{x\to0^{-}}f(x)$ means we approach (x = 0) from values of (x) less than (0). Looking at the graph, as (x) approaches (0) from the left (values of (x) such that (x<0) and (x) is close to (0)), the (y) - value of the function approaches (1).

So, (\lim_{x\to0^{-}}f(x)=1)