Because the sum approaches infnity, not a fixed number
Consider the series
[math]S = 1 + \frac{1}{2} + \frac{1}{3} + \frac{1}{4} + \frac{1}{5} + \frac{1}{6} + \frac{1}{7} + \frac{1}{8} + …[/math]
and consider how [math]\frac{1}{3}[/math] > [math]\frac{1}{4}[/math] . So if we replace every number that's not a power of 2, with a larger number ...
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