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Mathematics

The Epsilon-Delta Definition of a Limit and Its Role in Continuity

Quick fact

The epsilon-delta definition was formalized in the 19th century by mathematicians like Weierstrass, and it allowed calculus to be placed on a fully logical foundation, removing the need for 'infinitely small' quantities that were previously mysterious.

Why this is interesting

You've been told a limit is 'what the function approaches'—but what if it doesn't 'approach' in the way you imagine?