Determine the left and right hand limits using infinity of a function

The video tutorial explains how to identify limits by choosing values close to a given number, specifically focusing on values around -3. It discusses analyzing the signs of the numerator and denominator to determine the behavior of limits, such as approaching positive or negative infinity. The tutorial emphasizes understanding the left and right hand behavior of limits without needing exact values or graphs.

How does the sign of the numerator and denominator affect the limit as the input approaches -3?

What happens to the function as the input approaches -3 from the left side?

Describe the behavior of the function as the input approaches -3 from the right side.

Explain the significance of choosing values that are close to the limit when analyzing limits.

What approach can be taken to identify the limit when the exact value cannot be found?