Fractions of the form $\frac{1}{n}$ go to zero as $n$ goes to infinity, but what if we add them all up? A surprising classic result is that this sum can get arbitrarily large. We prove the divergence of the harmonic series here.
Fractions of the form $\frac{1}{n}$ go to zero as $n$ goes to infinity, but what if we add them all up? A surprising classic result is that this sum can get arbitrarily large. We prove the divergence of the harmonic series here.