



Can a feedback control system be designed to "remove" the effects of a removable discontinuity?
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what is a removable discontinuity Informational
- Give an example of a function with two removable discontinuities.
- Consider the function y = sin(x) / x. What is its limit as x approaches 0? How does this relate to a removable discontinuity?
- How has the understanding of removable discontinuities evolved over time?
- How do removable discontinuities play a role in the theory of distributions or generalized functions?
- Can the probability density function for a particle's position have a removable discontinuity?
- Give an example of a function involving logarithms or exponentials with a removable discontinuity.
- How do oblique asymptotes relate to removable discontinuities?
- Does "filling the hole" of a removable discontinuity affect the graph's concavity?
- How do removable discontinuities relate to the concept of sheaf theory in advanced mathematics?
- Explain why dividing by zero often leads to discontinuities, including removable ones.
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