graph the function. use the graph to find the indicated limit, if it exists. lim f(x), f(x)=5x - 1 x→1 use…
graph the function. use the graph to find the indicated limit, if it exists. lim f(x), f(x)=5x - 1 x→1 use the graphing tool to graph the linear equation. click to enlarge graph
Answer
Explanation:
Step1: Recall limit - substitution rule
For a polynomial function (y = f(x)), (\lim_{x\rightarrow a}f(x)=f(a)) when (f(x)) is continuous at (x = a). The function (f(x)=5x - 1) is a linear (polynomial) function and is continuous everywhere.
Step2: Substitute (x = 1) into the function
Substitute (x = 1) into (f(x)=5x - 1). We get (f(1)=5\times1-1). [f(1)=5 - 1=4]
Answer:
4