Evaluate the limit by looking at the graph with radical in the denominator

The video tutorial discusses a complex equation, focusing on its undefined nature at zero and the values it approaches from the left and right. It explains the conditions under which a limit exists, emphasizing that the left and right hand limits must be the same for a general limit to exist. The tutorial uses graphs and tables to illustrate these concepts, highlighting the importance of understanding approaching values and limit conditions.

What is the nature of the equation at zero?

• It is defined and continuous.

• It has an asymptote.

• It is undefined and has a hole.

• It is a straight line.

What value does the function approach from both sides?

• 3

• 2

• 0

• 1

For a general limit to exist, what must be true about the left and right hand limits?

• They must be the same.

• One must be zero.

• They must be different.

• They must be undefined.

What happens if the left and right hand limits are not the same?

• The function has an asymptote.

• The function becomes continuous.

• The general limit exists.

• The general limit does not exist.

Which example is used to illustrate when limits do not exist?

• Absolute value over X

• Quadratic equation

• Linear function

• Exponential function