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Mathematics

The Epsilon-Delta Definition of a Limit

Quick fact

The epsilon-delta definition of a limit, first rigorously formulated by Karl Weierstrass in the 19th century, eliminated centuries of vague reasoning in calculus and made it a truly logical discipline.

Why this is interesting

You can get as close as you want to a target, but how close is close enough? The epsilon-delta definition turns that fuzzy idea into a mathematical precision game.