the graph of a function is given. use the graph to find the indicated limit and function value, or state…
the graph of a function is given. use the graph to find the indicated limit and function value, or state that the limit or function value does not exist. 33) a. lim f(x) b. f(0) x→0
Answer
Explanation:
Step1: Analyze the limit as x→0
As x approaches 0 from both the left - hand side and the right - hand side of the graph, the y - values of the function approach 1. So, $\lim_{x\rightarrow0}f(x)=1$.
Step2: Analyze the function value at x = 0
The graph has an open - circle at the point (0, 1), which means the function is not defined at x = 0. So, $f(0)$ does not exist.
Answer:
a. 1 b. Does not exist