# Why does the Harmonic Series diverge?

The Harmonic Series diverges because the sum of its terms grows without bound as more terms are added. Mathematically, it can be proven using the integral test or the comparison test that the sum of the reciprocals of natural numbers (1/n) diverges. This means that the series does not converge to a finite value but instead increases indefinitely as more terms are added.

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Since the above shows that the harmonic series is larger that the divergent series, we may conclude that the harmonic series is also divergent by the comparison test.

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