



How can one visually represent a removable discontinuity in a graph?
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what is a removable discontinuity Informational
- Are there any conventions or standard practices for indicating and addressing removable discontinuities in mathematical writing?
- What are the implications of a removable discontinuity for the uniqueness of limits?
- Give an example of a function involving logarithms or exponentials with a removable discontinuity.
- Can a physical theory with non-removable discontinuities be "fixed" by introducing removable ones?
- What causes a removable discontinuity?
- What value should f(0) be defined as to remove the discontinuity in f(x) = (1 - cos(x)) / x^2 at x = 0?
- Give an example of a function with two removable discontinuities.
- In music synthesis or audio processing, can signals or filters have removable discontinuities in the frequency domain?
- How can piecewise definitions be used to create functions with specific types of discontinuities, including removable ones?
- How does a removable discontinuity affect the derivative of a function at that point?
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