the function f(x) has values as given in the table.\nwhat is the limit, if it exists?\nlim f(x) as x→2
the function f(x) has values as given in the table.\nwhat is the limit, if it exists?\nlim f(x) as x→2
Answer
Explanation:
Step1: Analyze left - hand limit
As (x) approaches (2) from the left (values like (1.99), (1.999), (1.9999)), the (f(x)) values seem to be fluctuating around (0).
Step2: Analyze right - hand limit
As (x) approaches (2) from the right (values like (2.0001), (2.001), (2.01)), the (f(x)) values also seem to be fluctuating around (0).
Answer:
C. (0)