How to evaluate left and right hand limits of reciprocal function

The video tutorial explains how to evaluate limits as X approaches a specific value, using direct substitution. It discusses the behavior of graphs as they approach infinity and the importance of approaching limits from both sides. The tutorial also covers left and right side limits, highlighting how graphs behave differently when approaching from different directions.

What method can be used to find the limit as X approaches a specific value?

• Algebraic manipulation

• Numerical approximation

• Direct substitution

• Graphical analysis

What happens to the graph when one side approaches infinity and the other side approaches negative infinity?

• The limit exists

• The limit is zero

• The limit does not exist

• The limit is infinite

Why does a limit not exist when approaching from both sides?

• The graph is linear

• The values are the same

• The values are different

• The graph is continuous

What is the behavior of the graph when approaching from the left side?

• It remains constant

• It approaches negative infinity

• It approaches zero

• It approaches positive infinity

When approaching from the right side, what does the graph tend to do?

• Approach positive infinity

• Remain constant

• Approach negative infinity

• Approach zero