How to evaluate the left right and general limit from a graph with holes

The video tutorial covers the analysis of functions and graphs, focusing on understanding limits and discontinuities. It begins with a review of functions and graph interpretation, highlighting removable discontinuities. The concept of limits is introduced, explaining how to evaluate them as values approach infinity or specific points. The tutorial emphasizes the importance of evaluating limits from both the left and right to determine if a general limit exists. It concludes with examples of limits at discontinuities, stressing that a general limit does not exist if the left and right limits differ.

What is the output of the function G at x = 2?

• Does not exist

• 0

• 1

• 2

What type of discontinuity is present at x = 0?

• Infinite discontinuity

• No discontinuity

• Jump discontinuity

• Removable discontinuity

As x approaches infinity, what is the behavior of the function F(x)?

• Approaches zero

• Goes to negative infinity

• Goes to positive infinity

• Remains constant

What is the limit of the function as x approaches 2 from both sides?

• 0

• 1

• Does not exist

• 2

Under what condition does the general limit not exist?

• When left and right limits differ

• When approaching a hole

• When left and right limits are the same

• When approaching an asymptote