Question

Maximum of a sequence and convergence of a series

score 42 · Answer 1 · 2026-04-16 20:38:57

42

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Maximum of a sequence and convergence of a series

Published on 16 Apr 2026 - 20:38

score 1.2k · Answer 2 · 2026-04-16 14:50:42

1.2k

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Convergence of $\sum_{n=1}^{\infty} \sin\left(\frac{\pi}{2}n\right)\left(n(-1)^n+\left(\sin\frac{1}{n}\right)^{-1}\right)$

Published on 16 Apr 2026 - 14:50

score 167 · Answer 3 · 2026-04-25 22:26:37

167

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Derivative of a monotone function discontinuous only at rational numbers

Published on 25 Apr 2026 - 22:26

score 86 · Answer 4 · 2026-05-10 18:26:31

86

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Find an increasing arithmetic sequence of n real numbers whose sum is equal to N

Published on 10 May 2026 - 18:26

score 173 · Answer 5 · 2026-04-15 20:07:12

173

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power series and conditional convergence at an end point

Published on 15 Apr 2026 - 20:07

score 98 · Answer 6 · 2026-04-09 03:57:00

98

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Convert recursive into explicit form

Published on 09 Apr 2026 - 3:57

score 55 · Answer 7 · 2026-04-17 13:52:28

55

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Find a stage $n(\epsilon)$ such that $|x_n-l|<\epsilon$

Published on 17 Apr 2026 - 13:52

score 90 · Answer 8 · 2026-04-09 13:08:37

90

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Alternating sum with ever increasing range of equal signs

Published on 09 Apr 2026 - 13:08

score 53 · Answer 9 · 2026-04-15 15:36:25

53

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Sequence of arithmetic means of a square summable sequence is square summable

Published on 15 Apr 2026 - 15:36

score 51 · Answer 10 · 2026-04-16 18:09:12

Study convergence of the series $\sum\limits_n\left(\left(3+3^{-n^3}\right)^{n^2}-3^{k(n)}\right)$, where $k(n)=\frac{n^3 +n^63^{n^2}}{1+n^43^{n^2}}$

score 1.7k · Answer 11 · 2026-04-12 15:14:08

1.7k

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Finding the common ratio in an infinite geometric sequence.

Published on 12 Apr 2026 - 15:14

score 47 · Answer 12 · 2026-05-11 08:00:43

47

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Summation of Finite trigonometrical series

Published on 11 May 2026 - 8:00

score 43 · Answer 13 · 2026-05-10 19:39:01

43

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Equivalent definitions of perfect equilibrium of a normal form game

Published on 10 May 2026 - 19:39

score 159 · Answer 14 · 2026-04-13 09:41:11

159

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Understanding $(\frac{1}{n})^n+(\frac{2}{n})^n+...+(\frac{n}{n})^n$ sum

Published on 13 Apr 2026 - 9:41

score 215 · Answer 15 · 2026-04-12 07:15:52

215

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Cesaro limits and supremum of a sequence

Published on 12 Apr 2026 - 7:15

List Question

Maximum of a sequence and convergence of a series

Convergence of $\sum_{n=1}^{\infty} \sin\left(\frac{\pi}{2}n\right)\left(n(-1)^n+\left(\sin\frac{1}{n}\right)^{-1}\right)$

Derivative of a monotone function discontinuous only at rational numbers

Find an increasing arithmetic sequence of n real numbers whose sum is equal to N

power series and conditional convergence at an end point

Convert recursive into explicit form

Find a stage $n(\epsilon)$ such that $|x_n-l|<\epsilon$

Alternating sum with ever increasing range of equal signs

Sequence of arithmetic means of a square summable sequence is square summable

Study convergence of the series $\sum\limits_n\left(\left(3+3^{-n^3}\right)^{n^2}-3^{k(n)}\right)$, where $k(n)=\frac{n^3 +n^63^{n^2}}{1+n^43^{n^2}}$

Finding the common ratio in an infinite geometric sequence.

Summation of Finite trigonometrical series

Equivalent definitions of perfect equilibrium of a normal form game

Understanding $(\frac{1}{n})^n+(\frac{2}{n})^n+...+(\frac{n}{n})^n$ sum

Cesaro limits and supremum of a sequence

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