Why does the following series diverge?
$$\sum_{n = 1}^\infty\frac{1}{n}$$
I've tried to make sense of it, but can't seem to wrap my head around it.
Thanks.
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Isn't there supposed to be an index at some point? – kafman Apr 22 '13 at 22:04
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Are you asking for an intuitive explanation? – amWhy Apr 22 '13 at 22:04
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you should be more specific than $\sum 1/x$, do you mean $\sum_{n=1}^\infty 1/n$? – Mud Apr 22 '13 at 22:04
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Yes, sorry, it's from 1 to infinity. – John Smith Apr 22 '13 at 22:05
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@Mud you probably mean $\sum_{i=1}^{\infty} 1/i$? ;-) – kafman Apr 22 '13 at 22:05
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ha. yeah I do. thanks – Mud Apr 22 '13 at 22:06
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@JohnSmith I asked this similar question not too long ago, check my profile. I had a lot of great answers! – Lays Apr 22 '13 at 22:29