Limit of f(x)=x²: Interactive Epsilon-Delta Definition

This GeoGebra example demonstrates the rigorous epsilon-delta definition of the limit for f(x)=x². By adjusting the ε slider or moving the red point a on the x-axis, users can visually observe how the corresponding δ value changes. The interactive visualization illustrates the formal definition: for any ε>0, there exists δ>0 such that |x-a|<δ implies |f(x)-f(a)|<ε. Double-arrow segments annotate t