Question

Use the graph below to find the integer value(s) of x where the limit does not equal a finite value as x approaches those integer value(s).

Answer 1

Answer:

Step-by-step explanation:

When it says the limit does not equal a finite value, it wants you to find the values of x where the limit does not "land" on a number. And it appears that you are dealing with one-sided limits as well...

For example, the limit of f(x) as x approaches -1 from the right is -1; as x approaches -1 from the left, the limit is also -1. BUT if we want the limit of f(x) as x approaches -2 from the left, it doesn't exist because the function doesn't exist to the left of -2. SO with that being said, the limit of f(x) as x approaches -1 is -1, which is a finite number.

If you look at what happens when the limit approaches 3 from both the right and the left. It drops down into infinity in both cases. Therefore, the value of x where the limit does not equal a finite value is 3.

That's your mini limit lesson!