Harmonic Series Diverges
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- The harmonic series Ever wonder whether the series 1+12+13+...1 + \frac{1}{2} + \frac{1}{3} + ...1+21+31+... diverges? (i.e. sum to infinity) Let Hn=1+12+...+1nH_n = 1 + \frac…
By Zi Song Yeoh
- The harmonic series is the series in which the terms are the reciprocals of the natural numbers, in order: 11+12+13+...=∑n=1∞1n\frac{1}{1} + \frac{1}{2} + \frac{1}{3} + ... = \s…
By Sujay Kazi
- If you are more calculus-minded, here is a great proof that the harmonic series diverges. The key is to observe the following easy-to-see truth: 1n>∫nn+1dxx\frac{1}{n} \gt \int_…
By Sujay Kazi