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

The video tutorial explains how to identify limits by choosing values close to the limit point. It discusses analyzing the signs of the numerator and denominator to determine the behavior towards infinity. The tutorial also covers both left-hand and right-hand limit analysis, emphasizing the importance of understanding the signs to predict limit behavior without graphing. The conclusion offers strategies for finding limits when exact values are not available.

What approach is suggested for choosing values when determining limits?

How does the sign of the numerator affect the limit as you approach -3 from the left?

What happens to the limit as you approach -3 from the right side?

What conclusion can be drawn about the behavior of the function as it approaches -3?

Explain the significance of choosing values that are close to -3 when analyzing limits.