Learn how to evaluate left and right hand limits of a function

The video tutorial explains the concept of limits in functions, focusing on how limits are approached from both the left and right sides. It discusses the specific case of limits at zero, highlighting the concept of discontinuity, particularly jump discontinuity, and how it affects the existence of limits. The tutorial also covers how to write and interpret left and right side limits, emphasizing the different values they approach.

What must happen for a limit to exist at a point?

• The function must have a finite value at that point.

• The function must be differentiable at that point.

• The function must be continuous at that point.

• The function must approach the same value from both sides.

What is the limit of a function as X approaches -2 in the given example?

• -2

• 0

• -1

• 1

What type of discontinuity is present when a function does not approach the same value from both sides?

• Removable discontinuity

• Oscillating discontinuity

• Infinite discontinuity

• Jump discontinuity

What is the left-hand limit of the function as X approaches 0?

• 2

• 1

• -1

• 0

What is the right-hand limit of the function as X approaches 0?

• 1

• 0

• -1

• 2