Summary of Techniques for Sequence Limits
Read this topicProblems 2
- Denote by ⟨x⟩\langle{x}\rangle⟨x⟩ the fractional part of the real number xxx (for instance, ⟨3.2⟩=0.2\langle{3.2}\rangle = 0.2⟨3.2⟩=0.2). A positive integer NNN is selected rand…
- For every positive integer nnn, define SnS_nSn to be the sum Sn=∑k=12010(cosk!π2010)n.S_n = \sum_{k = 1}^{2010} \left( \cos \frac{k! \pi}{2010} \right)^n .Sn=k=1∑2010(cos201…