Hi, I want to show that $\displaystyle \sum_{n=1}^{\infty}b_n$, where $\displaystyle b_n = \ln(1 - \frac{1}{2^n})$, is divergent (approaches negative infinity).

How would I go about approach this? I was thinking of using direct comparison or limit form of comparison test. However, I am not sure of what to compare $\displaystyle b_n$ with.

Any help will be kindly appreciated.