Visualization of the epsilon-delta-continuity with the function f:R→R:x↦13x{\displaystyle f:\mathbb {R} \to \mathbb {R} :x\mapsto {\tfrac {1}{3}}x} and the point x0=1{\displaystyle x_{0}=1}. The 2epsilon-2delta-rectangle is drawn with ϵ=12{\displaystyle \epsilon ={\tfrac {1}{2}}} and δ=2{\displaystyle \delta =2}.
Own work
Stephan Kulla (User:Stephan Kulla)