MTH 171 Lecture Notes - Lecture 6: Classification Of Discontinuities, Joule, Intermediate Value Theorem
Document Summary
Provide a generalization to each of the key terms listed in this section. If a function does not support all three of those tests, then that function is not continuous, which is also known as the function being discontinuous when x = a. Since that is the proper case, then for any given > 0, you would be able to nd out that > 0, which can be explained by the following (along with f is continuous at a ): |x a| < is implying that. An in nite discontinuity is a discontinuity that occurs when the limit of a function being in nite or equaled to . A jump discontinuity is a discontinuity that occurs when you have unequal sides; if the left side of a limit does not equal the right side of the limit, then this would be a jump discontinuity.
