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A sum that reaches infinity — but takes forever
The harmonic series 1 + 1/2 + 1/3 + 1/4 + ⋯ diverges — proved by a grouping trick: every block of terms adds at least 1/2 to the sum, and there are infinitely many blocks. It takes about 10^43 terms to reach 100. #math #infinity #series #calculus #shorts Music by Kevin MacLeod (incompetech.com), licensed under Creative Commons: By ...
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