why does 1+1/2+1/3+... = infinity?
We will discuss why the harmonic series 1/n, namely 1+1/2+1/3+..., diverges to infinity. Of course, we can use the p-series test or the integral test, but here we will see the classic proof! Although this is usually a calculus 2 topic, this video is also very suitable for precalculus students because we will also take a look at a convergent infinite geometric series. Another very nice extension is that even 1+1/2+1/3+...=inf, but 1+1/2+1/3+...+1/n is never an integer when n is greater than 1. Here's the video for that • The Harmonic Number Is Never An Integ...
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