8 show that the following series is conditionally convergent sum_n2inf
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(8) Show that the following series is conditionally convergent, \sum_{n=2}^{\infty} \frac{\sin \frac{n \pi}{7}}{\ln \left(1+\frac{1}{\sqrt{2}}\right)+\cdots+\ln \left(1+\frac{1}{\sqrt{n}}\right)}