Problem #95 MEDIUM
The Unreachable Destination — Zeno's Dichotomy
Paradox Infinity Limits Math
Problem Statement
Zeno of Elea argued in 450 BC that motion is impossible. His reasoning: to walk from point A to point B, you must first reach the halfway point. Before that, the quarter point. Before that, the eighth point. You must complete infinitely many tasks before you even begin moving — so you can never start, and motion is impossible. Yet here you are, reading this. Where is the flaw? And what does 1/2 + 1/4 + 1/8 + 1/16 + ... equal?
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