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, highlighting the importance of understanding graph behavior and discontinuities. It explains how to evaluate functions at points with removable discontinuities, emphasizing that some function values do not exist at these points. The tutorial then delves into the concept of limits, focusing on approaching values from both the left and right sides, and clarifies common misconceptions about limits. It concludes with a discussion on general limits and the conditions required for their existence.

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

• The graph goes down to negative infinity.

• The graph remains constant.

• 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 has a jump.

• A point where the function is continuous.

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

When approaching a limit from the left, what are we trying to determine?

• The value the function is approaching.

• The integral of the function.

• The exact value of the function at that point.

• The derivative of the function.

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

• The function must be continuous at that point.

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

• The function must have a value at that point.

• The function must be differentiable at that point.

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

• Because the function has a value at -4.

• Because the function is continuous at -4.

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

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