# What is the Harmonic Series?

The harmonic series is the sum of the reciprocals of the positive integers. Mathematically, it is represented as:

1 + 1/2 + 1/3 + 1/4 + 1/5 + ...

The harmonic series diverges, meaning it grows indefinitely as more terms are added. This was proven by the mathematician Nicole Oresme in the 14th century. The divergence of the harmonic series is significant in various areas of mathematics and has implications in calculus, number theory, and other branches of mathematics.

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