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  1. Why are removable discontinuities even discontinuities at all?

    Nov 12, 2015 · The second source, on the other hand, conflates the terms "hole" and "removable discontinuity," as opposed to your first source (which treats holes as special cases of removable …

  2. limits - Are all holes considered Removable discontinuities ...

    Aug 31, 2023 · However, in the case of a piecewise function that is simply defined to be missing a point, there is no mathematical operation that will remove said discontinuity. But I recently found in the …

  3. calculus - Are functions still continuous even with removable ...

    Feb 12, 2018 · A function that is continuous with a removable discontinuity is continuous on its domain, but it is not continuous at the point of discontinuity, as it is not even defined there! However, it can be …

  4. Examples of functions with a removable discontinuity

    Nov 27, 2020 · The function of how much time you spend in the stage depending in what pixel you jump has a removable discontinuity. Consider two wi-fi routers that give you internet if you're a distance …

  5. Removable discontinuity or asymptote? - Mathematics Stack Exchange

    The difference between a "removable discontinuity" and a "vertical asymptote" is that we have a R. discontinuity if the term that makes the denominator of a rational function equal zero for x = a

  6. How can a function with a hole (removable discontinuity) equal a ...

    Mar 27, 2019 · If you have a function that has a removable discontinuity, then it is identical (but not equal) to a continuous function whose domain includes the ordinate (first coordinate) of the …

  7. Does the limit exist when there is a removable discontinuity but the ...

    Mar 24, 2017 · Does the limit exist when there is a removable discontinuity but the function takes a different value there? Ask Question Asked 8 years, 9 months ago Modified 3 years, 4 months ago

  8. How to quickly tell if a discontinuity is removable or non-removable?

    Dec 11, 2012 · A removable discontinuity occurs precisely when the left hand and right hand limits exist as equal real numbers but the value of the function at that point is not equal to this limit because it is …

  9. How do we define the domain of a function with removable and ...

    Jan 29, 2018 · So a removable discontinuity is an undefined point that has a defined limit, whereas a nonremovable discontinuity has a limit that does not exist or is infinity?

  10. What is an essential discontinuity? Is it infinity or non-removable or ...

    A non-removable discontinuity occurs whenever the right- and left-hand limits are not equal to each other. If an essential discontinuity occurs whenever a one-sided limit does not exist, then because …