Evaluate the limit of the reciprocal function with an asymptote

The video tutorial reviews graphing techniques, focusing on reciprocal functions and transformations. It explains how to graph using vertical stretch and horizontal shift, and discusses the concept of asymptotes, particularly vertical asymptotes. The tutorial also covers limits, emphasizing that the left and right hand limits do not converge at a vertical asymptote, leading to a 'does not exist' conclusion.

What happens to the left-hand limit and right-hand limit as they approach the vertical asymptote?

What does it mean when the text states that a limit 'does not exist'?