# How do you determine if the series #ln(1/2) + ln(1/3) + ln(3/4) + ... +ln[k/(k + 1)] + ....# converges?

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Massimiliano
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Dec 2, 2017

First of all I think there is a little mistake, the second term would be:

So it would be:

We can use an important logarithmic rule that says:

So:

The first term is zero, all the other will cancel each other, but there is **always** another that *survive*. The bigger becomes

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