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what is a removable discontinuity Informational
- How does the formal epsilon-delta definition of a limit relate to the concept of a removable discontinuity?
- What are some open questions or active areas of research related to discontinuities in mathematics?
- Explain why a removable discontinuity is sometimes referred to as a "hole" in the graph.
- How can L'Hôpital's Rule be used to find the limit at a removable discontinuity and determine the value of the continuous extension?
- How do removable discontinuities relate to the concept of impedance matching in electrical engineering?
- Consider a function defined implicitly by an equation involving both x and y. Can its graph have removable discontinuities?
- How can trigonometric identities be used to simplify functions and identify removable discontinuities?
- In the context of differential equations, can initial conditions be specified at a removable discontinuity?
- How do numerical methods handle removable discontinuities?
- How do removable discontinuities arise in the context of piecewise defined functions with mismatched values at the boundary?
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