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1. Show that **S**^{ ¥ }_{n=1}[(ln^{2}n)/n]sin[(np)/4] converges. (hint: Dirichlet)

2. Show that **S**^{ ¥ }_{n=1}(-1)^{n}(1+1/n)^{n}tan(1/n) converges. (hint: Abel).

Questions 8.15 (e), 8.23, 8,28(c), (d) and 8.29 in the textbook.

This is a traditional assignment, to be handed in not later than Tuesday, January 8, 2002.