Agenog

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20 Questions

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30	Does the series $ \sum\limits_{n=1}^{\infty} \frac{1}{n^{1 + \|\sin(n)\|}} $ converge or diverge?
5	Determine the character of $\sum_{n=1}^{+\infty}{\frac{e^{i\theta n}}{n}}$
5	A question on a Lipschitz function
2	Give a demonstration that $\sum\limits_{n=1}^\infty\frac{\sin(n)}{n}$ converges. [duplicate]
2	Succession divided into a countable infinity of subsequences

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199 Reputation

+25	Determine the character of $\sum_{n=1}^{+\infty}{\frac{e^{i\theta n}}{n}}$
+5	Does the series $ \sum\limits_{n=1}^{\infty} \frac{1}{n^{1 + \|\sin(n)\|}} $ converge or diverge?
+5	The Leibniz criterion is necessary condition for the alterning series?
+10	Does the series $\sum_{n=1}^{+\infty}n^{a}\log(9/4)+((-1)^{n}-1)({3}^{1/n}-2^{1/n})$ converge?

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2 Answers

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1	Does the series $\sum_{n=1}^{+\infty}n^{a}\log(9/4)+((-1)^{n}-1)({3}^{1/n}-2^{1/n})$ converge?
0	A uniformly continuous function such that the derivative is not bounded and is not defined on a compact?

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1 sequences-and-series × 9	0 limit × 3
1 convergence × 5	0 metric-spaces × 3
0 real-analysis × 14	0 functions × 2
0 analysis × 4	0 complex-analysis × 2
0 derivatives × 3	0 uniform-continuity × 2

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