Learn to evaluate the limit from the left right and general of a graph

The video tutorial covers the concept of M behavior in graphs as X approaches infinity, focusing on understanding discontinuities, particularly removable ones, and how they affect function evaluation. It delves into the concept of limits, emphasizing the importance of approaching values from both the left and right to determine the general limit. The tutorial clarifies common misconceptions about limits and concludes with a brief personal story.

What happens to the graph as X approaches infinity in terms of M behavior?

• The graph remains constant.

• The graph goes down to negative infinity.

• The graph goes up to infinity.

• The graph oscillates.

What is a removable discontinuity in a function?

• A point where the function has an asymptote.

• A point where the function is continuous.

• A point where the function is undefined but can be redefined.

• A point where the function has a jump.

When approaching a limit, what is more important than the actual value of the function?

• The derivative of the function.

• The value the function is approaching.

• The slope of the function.

• The integral of the function.

What must be true for a general limit to exist at a point?

• The left-hand limit must be greater than the right-hand limit.

• The left-hand limit must be less than the right-hand limit.

• The left-hand limit must equal the right-hand limit.

• The left-hand limit must not exist.

Why does the general limit not exist at -4 in the given example?

• Because the function is continuous at -4.

• Because there is no function to the left of -4.

• Because the function has a maximum at -4.

• Because the right-hand limit is undefined.