The Limit: How Calculus Tamed Infinity

From Zeno's ancient paradox of Achilles and the tortoise to Weierstrass's 1861 epsilon-delta definition, this video traces the 2,000-year quest to make getting infinitely close mathematically rigorous. It covers Newton and Leibniz's shaky infinitesimals, Bishop Berkeley's ghosts of departed quantities critique, the formal epsilon-delta definition, and how limits underpin the derivative. Along the way: why 0.999... really equals 1, and the classic sin(x)/x squeeze theorem.