
Home > CALC > Chapter 5 > Lesson 5.2.4 > Problem 5-97
5-97.
To test if the function is continuous at the boundary point, use the three conditions of continuity:
2. f(a) exists.
To test if the function is differential at the boundary point, use the same three conditions on the derivative.
2. f '(a) exists. (Note, differentiability implies continuity.)
Notice that part (b) has two boundary points, so you will have to run these tests twice.