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 is the behavior of the function as X approaches 0 from the right?

• It approaches -1

• It approaches 0

• It remains constant

• It approaches 1

For a limit to exist, what must be true about the values approached from the left and the right?

• They must be the same

• They must be zero

• They must be undefined

• They must be different

What is the significance of the limit being undefined at a point?

• It means the limit is zero

• It means the function is continuous

• It means the limit does not exist

• It means the function is differentiable

What happens if the values approached from the left and the right are not the same?

• The limit is infinite

• The limit is zero

• The limit does not exist

• The limit is undefined

In the example given, what value is approached from the left?

• 0

• -1

• 2

• 1