logical fallacy of Epsilon-Delta-Kriterium

Epsilon-Delta-Kriterium

{\displaystyle {}^{\forall }\varepsilon >0,\;{}^{\exists }\delta >0\;;\;{}^{\forall }x\in \mathbb {R} \;[0<|x-a|<\delta \Rightarrow |f(x)-b|<\varepsilon ]}

| x - a | < δ ,f(x) - b| < ε is not limit.

   

      T.theodor