File:Illustration for epsilon-delta definition of continuity 9.svg

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Original file (SVG file, nominally 537 × 302 pixels, file size: 92 KB)

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Summary

Description
English: This image is part of a series of images illustrating the epsilon-delta-definition of continuity.
Deutsch: Dieses Bild ist Teil einer Serie von Abbildungen, die das Epsilon-Delta-Kriterium der Stetigkeit illustrieren.
Date
Source Own work
Author Stephan Kulla (User:Stephan Kulla)
Other versions
  • A continuous function
    A continuous function
  • A point (x_0, f(x_0)) of the function graph
    A point (x_0, f(x_0)) of the function graph
  • An epsilon bound around the f(x_0)
    An epsilon bound around the f(x_0)
  • A delta neighborhood fulfilling the epsilon-delta-criterion
    A delta neighborhood fulfilling the epsilon-delta-criterion
  • A smaller epsilon bound around f(x_0)
    A smaller epsilon bound around f(x_0)
  • A delta neighborhood fulfilling the epsilon-delta-criterion for the smaller epsilon
    A delta neighborhood fulfilling the epsilon-delta-criterion for the smaller epsilon
  • A function with an jump at x_0
    A function with an jump at x_0
  • An epsilon bound around the f(x_0)
    An epsilon bound around the f(x_0)
  • A delta neighborhood not fulfilling the epsilon-delta-criterion
    A delta neighborhood not fulfilling the epsilon-delta-criterion
  • A smaller delta neighborhood not fulfilling the epsilon-delta-criterion
    A smaller delta neighborhood not fulfilling the epsilon-delta-criterion
SVG development
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inception

16 August 2016

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image/svg+xml

File history

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Date/TimeThumbnailDimensionsUserComment
current19:17, 13 June 2017Thumbnail for version as of 19:17, 13 June 2017537 × 302 (92 KB)wikimediacommons>LukasstocknerLaTeX captions

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