How to determine the limit of a graph from the left and right side

The video tutorial reviews the concept of right and left hand limits, using the function F of X as an example. It explains how to determine the limit as X approaches a specific value from both sides and discusses the notation used. The tutorial highlights that if the left and right hand limits are not equal, the limit does not exist. It also clarifies that the function value at a point may differ from the limit.

What is the importance of using correct notation when discussing limits?

• It is not important at all.

• It makes the function look more complex.

• It helps in understanding the function's behavior.

• It is only necessary for advanced mathematics.

When evaluating the limit of a function as x approaches a value from the left, what are we observing?

• The function's behavior as x approaches the value from the right.

• The function's behavior as x moves away from the value.

• The function's behavior at the value itself.

• The function's behavior as x approaches the value from the left.

What does it mean if the left-hand and right-hand limits of a function are not the same?

• The function has a maximum at that point.

• The function is differentiable at that point.

• The limit does not exist at that point.

• The function is continuous at that point.

If a function has a solid dot at a point, what does it indicate?

• The function has a defined value at that point.

• The function has a hole at that point.

• The function is discontinuous at that point.

• The function is undefined at that point.

What happens to the function value when approaching a limit from the right-hand side?

• It approaches the same value as from the left.

• It approaches a different value than from the left.

• It remains constant.

• It becomes undefined.