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  1. What's the difference between continuous and piecewise continuous ...

    Oct 15, 2016 · As such, I'm confused by what a piecewise continuous function is and the difference between it and a normal continuous function. I'd appreciate it if someone could explain the difference …

  2. real analysis - Determine where the function is continuous ...

    Oct 2, 2014 · I'm having trouble understanding how to do the solution to this problem. Could someone explain this problem and how I would show where they are continuous? Determine where the …

  3. What does it mean for a function to be continuous on its domain?

    Feb 8, 2018 · However, if a function is defined near a closed circle (the shaded circle of a graph) then that function is continuous. This problem usually occurs when trying to find the Domain and Range of …

  4. Find the interval (s) where the function is continuous

    Oct 11, 2020 · Use the properties of logarithmic function to determine the interval.

  5. What is a continuous extension? - Mathematics Stack Exchange

    There are other ways a function can be a continuous extension, but probably the most basic way (and likely about the only way you'll see in elementary calculus) is that you have a function that is not …

  6. Find the value of the constant k that makes the function continuous

    Jun 2, 2016 · Find the value of the constant k that makes the function continuous Ask Question Asked 9 years, 6 months ago Modified 9 years, 6 months ago

  7. What's the fastest way to tell if a function is uniformly continuous or ...

    Caution. $\sqrt {x}$ is uniformly continuous on $ (0,\infty)$, but its derivative is not bounded. Depending on what is meant with "its derivative diverges in the given interval", the criterion might be wrong. But …

  8. Continuous from the left/right - Mathematics Stack Exchange

    Apr 27, 2021 · (b) at which of these numbers is f continuous from the right, the left, or neither? I want to know what intervals I should take when discussing the continuity from the left of $x=4$.

  9. Determine points of continuity - Mathematics Stack Exchange

    This will either allow you to easily find (a) some examples where you can show the limit of the function reaching different values and thus, the non-existence of the limit. Or (b) some function bigger than or …

  10. Finding the value of constants that make a function continuous

    Finding the value of constants that make a function continuous Ask Question Asked 10 years, 10 months ago Modified 7 years, 1 month ago