



Give an example of a function with two distinct removable discontinuities.
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what is a removable discontinuity Informational
- How are removable discontinuities handled in numerical analysis for solving differential equations?
- How can removable discontinuities be used to define new functions or extend existing ones?
- Can a function have infinitely many removable discontinuities?
- What value should f(0) be defined as to remove the discontinuity in f(x) = (1 - cos(x)) / x^2 at x = 0?
- How do you create a continuous extension for a function with a removable discontinuity?
- What conditions must be met for a discontinuity to be classified as removable?
- Can a function with a removable discontinuity be made differentiable at that point by redefining its value?
- In financial mathematics, can asset prices or option values exhibit removable discontinuities?
- How are removable discontinuities dealt with in the analysis of singularities in physics?
- Explain the process of "filling the hole" in a removable discontinuity.
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