Prouver que la série \[ \sum_{n \ge 2} \ln\left(1 - \frac{2}{n(n+1)}\right) \] converge et calculer sa somme.
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View Solution (Opens in New Tab) →Prouver que la série \[ \sum_{n \ge 2} \ln\left(1 - \frac{2}{n(n+1)}\right) \] converge et calculer sa somme.
A solution has been written for this exercise.
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