Looking at the Harmonic series [tex]\sum_{k=1}^{\infty}\frac{1}{k}[/tex](adsbygoogle = window.adsbygoogle || []).push({});

I at first justed accepted my teachers assertion that it diverges. I still do, not to mention that I trust my textbook (and Nicole Oresme!).

However in seems counterintuitive to me (and since it is math, I guess that is okay) .

It just seems that by virtue of the fact that [tex] \lim_{\k\rightarrow \infty}\frac{1}{k}=0[/tex] that atsome pointwe would be adding zero to the sum.

Someone please help to clarify this.

Thanks,

Casey

p.s. I don't know why the "k" is not showing up under the limit sign:(

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# Homework Help: I have a problem with the Harmonic Series, please School me

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