How to evaluate the limit of a function by observing its graph

The video tutorial explains the concept of limits using the example of the absolute value of X divided by X as X approaches zero. It discusses how the limit is approached from both the right and left sides, highlighting that for a limit to exist, the values from both sides must converge to the same number. The tutorial concludes that in this case, the limit does not exist because the values from the left and right are different.

What conclusion can be drawn when the left-hand limit and right-hand limit do not match?

How do the values approached from the left and right affect the existence of a limit?