### Questions (18)

 12 Proof of an equality involving cosine $\sqrt{2 + \sqrt{2 + \cdots + \sqrt{2 + \sqrt{2}}}}\ =\ 2\cos (\pi/2^{n+1})$ 3 how to generate rook polynomial 3 Calculating a limit with infinitely many terms 3 Limit of a function by definition 2 Proof of an inequality by induction: $\sum_{k=1}^n \frac{1}{(k+1)\sqrt k}<2$

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 0 Proving that a sequence is strictly monotonic increasing

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 0 sequences-and-series × 6 0 inequality × 2 0 limits × 5 0 integration × 2 0 analysis × 5 0 definite-integrals 0 convergence × 3 0 absolute-convergence 0 trigonometry × 2 0 combinatorics

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