HARMONIC SERIES PROOF: Can you prove 1 + 1/2 + 1/3 + 1/4... is NOT CONVERGENT? | OLYMPIADS

In this proof, we explore the infinite journey of the harmonic series ✨
By employing a comparative argument, we juxtapose the harmonic series with a divergent geometric series 😁
We demonstrate that the partial sums of the harmonic series grow without bound, much like the staircase of a never-ending tower.
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Each step may get smaller, but the total height-the sum-continues to rise, surpassing any pre-set level. This unbounded ascent reveals the true nature of the harmonic series: a series that marches on towards infinity, never settling at a finite limit, thus proving its divergence 😎
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