Answer
Diverges
Work Step by Step
$$\lim _{n\rightarrow \infty }\ln \dfrac {1}{n}=\ln \dfrac {1}{\infty }=\ln _{0}=-\infty \neq 0$$
$$\Rightarrow \sum ^{\infty }_{n=1}\ln \dfrac {1}{n}$$ diverges
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