Why is the harmonic series diverges proof




















Viewed 27k times. Nick Anderegg Nick Anderegg 2 2 gold badges 5 5 silver badges 10 10 bronze badges. This is a serious question. But in a sum, the value may be getting closer to zero, but the running total still continues to get bigger. Show 9 more comments. Active Oldest Votes. And so on. That end part is a perfect explanation.

That sums up what I was thinking, the harmonic series really, really, really wants to converge if we're anthropomorphizing numbers now , but it can't quite get there. I get it now. Add a comment. Unfortunately, that is not true.

It would simplify a lot of math if it was true. Have you seen the proof that it diverges? Old John Thomas Andrews Thomas Andrews k 17 17 gold badges silver badges bronze badges.

Hope that helps,. Figure 1. Illustration of the integral test in calculus by Jim Belk. Robert Mastragostino Robert Mastragostino Upcoming Events. Featured on Meta. Now live: A fully responsive profile.

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Understanding the proof for the divergence of the harmonic series Ask Question. Asked 4 years, 1 month ago. Active 3 years ago. Viewed 2k times. Martin Sleziak Add a comment. Active Oldest Votes.

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