How to determine if a limit is continuous or not

Answer 1

To determine if a limit is continuous or not, you need to check three conditions:

1. The limit of the function as x approaches the point where the limit is being evaluated (let's call it "a") must exist. This means that the left-hand and right-hand limits must be the same.

2. The function must be defined at the point "a".

3. The limit of the function as x approaches "a" must be equal to the function value at "a".

If all three conditions are true, then the limit is continuous. If any of the conditions are false, then the limit is not continuous.