



Can the probability density function for a particle's position have a removable discontinuity?
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what is a removable discontinuity Informational
- In signal processing, how can filters be designed to handle or compensate for removable discontinuities in the input signal?
- What visual cues on a graph indicate a removable discontinuity?
- If the left-hand limit and the right-hand limit exist and are equal at a point, but the function is undefined at that point, is it a removable discontinuity?
- Consider the electric potential due to a point charge (ignoring the point charge itself). Does it exhibit a form of discontinuity? Is it removable?
- What is the value that should be assigned to h(x) = (x^3 - 8) / (x - 2) at x = 2 to make it continuous?
- How can L'Hôpital's Rule be used in the context of removable discontinuities?
- Can a removable discontinuity cause problems for root-finding algorithms?
- In actuarial science, can survival probabilities or loss distributions have removable discontinuities?
- How do the left-hand and right-hand limits behave at a removable discontinuity?
- Consider the function f(x) = (x - 2) sin(1/(x - 2)). Does it have a removable discontinuity at x = 2?
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