Determining When a Limit does not Exist

Determining when a limit does not exist is a fundamental concept in calculus with practical applications in various fields such as physics, engineering, and economics. In mathematical terms, the limit of a function describes the behavior of the function as its input approaches a certain value. However, there are cases where this limit fails to exist, indicating significant behavior or discontinuity in the function. Identifying these scenarios is crucial for understanding the behavior of functions and their applications in real-world problems, making it an essential topic in calculus studies.