Continuity of a Function

1. Continuity of a Function
   A function is said to be continuous at if it satisfies all of the following conditions:
1. The function is defined at .
2. exists.


2. Discontinuity of a Function
   A function is said to be discontinuous at if it is not continuous at . In other words, if any of the conditions for continuity are not satisfied, the function is discontinuous at .
1. i. is not defined, hence the function is discontinuous.
   
2. ii. does not exist, hence the function is discontinuous.
   
3. iii. , hence the function is discontinuous.