Basel Problem

The Basel Problem is a famous mathematical question that asks for the exact sum of the reciprocals of the squares of the natural numbers. Specifically, it seeks the value of 1/1² + 1/2² + 1/3² + 1/4² + ... and so on. Mathematicians were puzzled by this for years until the Swiss mathematician Leonhard Euler solved it in the 18th century, discovering that the sum converges to π²/6, or approximately 1.64493. This finding links number theory, calculus, and the properties of π, showcasing deep connections in mathematics.