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    • 1+1/2+1/3+...+1/n is NEVER an integer when...   The canvas print in the video: All series convergence tests: 👉 https://bit.ly/3GW8EJI Use "WELCOME10" for 10% off Subscribe for more precalculus & calculus tutorials 👉 https://bit.ly/just_calc --------------------------------------------------------- If you find this channel helpful and want to support it, then you can join the channel membership and have your name in the video descriptions: 👉https://bit.ly/joinjustcalculus buy a math shirt or a hoodie (10% off with the code "WELCOME10"): 👉 https://bit.ly/bprp_merch I use these markers 👉 https://amzn.to/3skwj1E