Ads
related to: removable v non discontinuities in math terms worksheet gradeteacherspayteachers.com has been visited by 100K+ users in the past month
- Resources on Sale
The materials you need at the best
prices. Shop limited time offers.
- Free Resources
Download printables for any topic
at no cost to you. See what's free!
- Resources on Sale
Search results
Results from the WOW.Com Content Network
The term removable discontinuity is sometimes broadened to include a removable singularity, in which the limits in both directions exist and are equal, while the function is undefined at the point . [a] This use is an abuse of terminology because continuity and discontinuity of a function are concepts defined only for points in the function's ...
The derivative at a non-essential singularity itself has a non-essential singularity, with increased by 1 (except if is 0 so that the singularity is removable). The point a {\displaystyle a} is an essential singularity of f {\displaystyle f} if it is neither a removable singularity nor a pole.
A graph of a parabola with a removable singularity at x = 2 In complex analysis , a removable singularity of a holomorphic function is a point at which the function is undefined , but it is possible to redefine the function at that point in such a way that the resulting function is regular in a neighbourhood of that point.
the sinc-function becomes a continuous function on all real numbers. The term removable singularity is used in such cases when (re)defining values of a function to coincide with the appropriate limits make a function continuous at specific points. A more involved construction of continuous functions is the function composition.
For example, in the classification of discontinuities: in a removable discontinuity, the distance that the value of the function is off by is the oscillation; in a jump discontinuity, the size of the jump is the oscillation (assuming that the value at the point lies between these limits from the two sides);
This page was last edited on 10 January 2015, at 10:07 (UTC).; Text is available under the Creative Commons Attribution-ShareAlike 4.0 License; additional terms may apply.
Ads
related to: removable v non discontinuities in math terms worksheet gradeteacherspayteachers.com has been visited by 100K+ users in the past month