Dec 25, 2025 · Given a function f(x) = 1 x, I can say that the function f is overall a continuous function since it is continuous at every point in its domain. However, my troubles lie at whether …

Sep 22, 2020 · To find the points of continuity, you simply need to find the points of discontinuity take their difference with respect to the reals. For example, if you are dealing with a rational …

Jan 21, 2013 · No, the continuity or discontinuity of a function at a point is only defined if the point is in the domain. The function is continuous at every point of its domain, which was stipulated …

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 …

Dec 30, 2020 · I recently learnt the proof that if a function is differentiable then it is continuous and that a function cannot be differentiable at a point discontinuity . I am confused however take …

Jul 2, 2023 · Point discontinuity, as said in the name, is when a function is not defined for a point. Jump discontinuity is the type of discontinuity your piecewise function has. The function jumps …

Sep 25, 2025 · If a function has a discontinuity point, are extrema still possible at that specific point? [closed] Ask Question Asked 4 months ago Modified 4 months ago

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, 10 months ago Modified 3 years, 5 …

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 …

An infinite discontinuity occurs whenever a one-sided limit is $\pm \infty$. Thus, an infinite discontinuity is a type of essential discontinuity. More specifically: If both the right- and the left …