What is removable discontinuity?
Understand the Problem
The question is asking for an explanation of the concept of removable discontinuity, which is a term used in mathematics, specifically in calculus and real analysis. It refers to a specific type of discontinuity in a function where a single point can be 'removed' or redefined to make the function continuous.
Answer
A removable discontinuity occurs at a point where the function is not defined or continuous but can be made continuous by appropriately defining the function at that point.
A removable discontinuity occurs at a point in a function where the function is not defined or is not continuous, but can be made continuous by appropriately defining or redefining the function at that point.
Answer for screen readers
A removable discontinuity occurs at a point in a function where the function is not defined or is not continuous, but can be made continuous by appropriately defining or redefining the function at that point.
More Information
Removable discontinuities are often illustrated with a 'hole' in the graph of a function.
Tips
A common mistake is misunderstanding the concept of 'removable' by thinking it can't be fixed. Remember, the term 'removable' signifies that the discontinuity can be removed by redefining the function.
Sources
- Removable Discontinuities in Functions - khanacademy.org
- Discontinuities: Removable, Jump & Infinite - calculushowto.com
AI-generated content may contain errors. Please verify critical information
