I understand why the harmonic series, [tex] \sum_{n=1}^\infty\ 1/n [/tex] diverges as claimed in math books. What they did was grouping the fractions together and noting that they add up to 1/2, things like that.(adsbygoogle = window.adsbygoogle || []).push({});

But, my logic is this:

[tex]\lim_{n\rightarrow\infty} 1/n = 0[/tex]

and the elements in the harmonic series are decreasing gradually from 1 until it hits 0.

And, so since, it is decreasing gradually, logically, when you add all the terms together, the series must converge right?

how will harmonic series diverge?

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# Understand why the harmonic series diverges

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