Answer
Diverges
Work Step by Step
$s_{n} = (\ln(1) - \ln(2)) + (\ln(2) - \ln(3)) + (\ln(3) − \ln(4)) + ... + (\ln(n) − \ln(n + 1))$ {by log rule}
Hence, this is a telescoping series:
$s_{n} = \ln(1) − \ln(n + 1)$
So, $\lim\limits_{n \to \infty} s_{n} = -\infty$, the series diverges
