graph the function. use the graph to find the indicated limit, if it exists. lim f(x), f(x)=2x + 4 x→2 use…
graph the function. use the graph to find the indicated limit, if it exists. lim f(x), f(x)=2x + 4 x→2 use the graphing tool to graph the linear equation. click to enlarge graph
Answer
Explanation:
Step1: Recall limit - definition for continuous functions
For a continuous function (y = f(x)), (\lim_{x\rightarrow a}f(x)=f(a)).
Step2: Identify the function and the value of (a)
The function is (f(x)=2x + 4) and (a = 2).
Step3: Substitute (x = 2) into the function
Substitute (x=2) into (f(x)=2x + 4), we get (f(2)=2\times2+4). [f(2)=4 + 4=8]
Answer:
8