# Agenog

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# 30 Questions

 35 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

# 367 Reputation

 +5 A uniformly continuous function such that the derivative is not bounded and is not defined on a compact? +5 Does the series $\sum\limits_{n=1}^{\infty} \frac{1}{n^{1 + |\sin(n)|}}$ converge or diverge? +5 $f(x,y)={1 \over x^2} \sum_{n=1}^{\infty}{\int_x^y{\sqrt{t} \over {1+ ({t \over x} -n)^2}}} dt$ is differentiable? +5 Show that, for all $\delta < \mu(S)$, $\delta >0$, exists a subset $T$ of $S$ such that $\mu(T) = \delta$.

 1 Does the series $\sum_{n=1}^{+\infty}n^{a}\log(9/4)+((-1)^{n}-1)({3}^{1/n}-2^{1/n})$ converge? 0 Uniform convergence of $\sum\limits_{n=1}^\infty \frac{(-1)^n}{ne^{nx}}$ 0 Showing that $\frac{x\sin(y)-y\sin(x)}{x^2+y^2}\rightarrow_{(x,y)\to (0,0)}0$ 0 A uniformly continuous function such that the derivative is not bounded and is not defined on a compact?

# 33 Tags

 1 sequences-and-series × 12 0 integration × 3 1 convergence × 5 0 derivatives × 3 0 real-analysis × 19 0 metric-spaces × 3 0 analysis × 5 0 multivariable-calculus × 3 0 limits × 4 0 projective-geometry × 2

# 2 Accounts

 Mathematics 367 rep 315 MathOverflow 101 rep 1