What is the Harmonic Series? Calculus Tests of Convergence / Divergence Harmonic Series 1 Answer Wataru Sep 11, 2014 The harmonic series is #sum_{n=1}^infty 1/n=1+1/2+1/3+1/4+cdots# (Note: This is a divergent series.) Answer link Related questions How do you Find the sum of the harmonic series? What does the alternating harmonic series converge to? How do you show that the harmonic series diverges? Why does the Harmonic Series diverge? How do you use the Harmonic Series to prove that an infinite series diverges? See all questions in Harmonic Series Impact of this question 2644 views around the world You can reuse this answer Creative Commons License