Question

Do the terms of a divergent series eventually always become bigger than those of a convergent series?

score 85 · Answer 1 · 2023-03-30 20:50:50

85

Views

Do the terms of a divergent series eventually always become bigger than those of a convergent series?

Published on 30 Mar 2023 - 20:50

score 79 · Answer 2 · 2026-02-23 06:16:36

79

Views

Alternative triangle inequality proof for complex numbers

Published on 23 Feb 2026 - 6:16

score 192 · Answer 3 · 2023-03-31 18:50:30

192

Views

Upper bound of the dot product of two real-valued vectors

Published on 31 Mar 2023 - 18:50

score 264 · Answer 4 · 2023-04-01 10:26:08

264

Views

Curious for other elegant methods for solving $x+\sqrt{x+\frac12+\sqrt{x+\frac14}}=4$

Published on 01 Apr 2023 - 10:26

score 3k · Answer 5 · 2023-04-01 14:55:33

3k

Views

What is the essence of the new proof of Pythagoras' theorem by the highschoolers Johnson and Jackson?

Published on 01 Apr 2023 - 14:55

score 45 · Answer 6 · 2026-04-03 04:55:05

45

Views

The validity of $∀x(Bx↔∃yRxy)↔\big(∀x∃y(Bx→ Rxy)∧ ∀x∀y(Rxy→Bx)\big)$

Published on 03 Apr 2026 - 4:55

score 82 · Answer 7 · 2023-04-03 04:18:12

82

Views

What is an alternate argument to prove that an infinite series converges or diverges?

Published on 03 Apr 2023 - 4:18

score 65 · Answer 8 · 2026-04-01 20:21:54

65

Views

Is this a rigorous enough way to construct a sequence?

Published on 01 Apr 2026 - 20:21

score 127 · Answer 9 · 2026-03-25 14:28:43

127

Views

Cayley-Hamilton proof using linear discrete-time systems

Published on 25 Mar 2026 - 14:28

score 181 · Answer 10 · 2026-03-28 04:33:32

181

Views

Using the binomial theorem to show that $[n]$ has $2^{n-1}$ odd sized subsets

Published on 28 Mar 2026 - 4:33

score 148 · Answer 11 · 2026-03-29 02:12:33

148

Views

Fundamental group of $\mathbb{R}/\mathbb{Q}$

Published on 29 Mar 2026 - 2:12

score 187 · Answer 12 · 2023-04-12 04:05:02

187

Views

How can I prove the existence of the set of natural numbers $\mathbb{N}$ in ZFC Set Theory?

Published on 12 Apr 2023 - 4:05

score 116 · Answer 13 · 2026-03-26 01:23:30

116

Views

51 points are inside a unit square. How do I prove that a circle with radius 1/7 can always cover 3 of them without using the Pigeonhole Principle?

Published on 26 Mar 2026 - 1:23

score 142 · Answer 14 · 2023-04-15 08:17:42

142

Views

Limit of a strictly increasing sequence bounded by strictly decreasing sequence is sandwiched between the sequences.

Published on 15 Apr 2023 - 8:17

score 320 · Answer 15 · 2023-04-17 08:18:48

320

Views

Ladders in the first quadrant

Published on 17 Apr 2023 - 8:18

List Question

Do the terms of a divergent series eventually always become bigger than those of a convergent series?

Alternative triangle inequality proof for complex numbers

Upper bound of the dot product of two real-valued vectors

Curious for other elegant methods for solving $x+\sqrt{x+\frac12+\sqrt{x+\frac14}}=4$

What is the essence of the new proof of Pythagoras' theorem by the highschoolers Johnson and Jackson?

The validity of $∀x(Bx↔∃yRxy)↔\big(∀x∃y(Bx→ Rxy)∧ ∀x∀y(Rxy→Bx)\big)$

What is an alternate argument to prove that an infinite series converges or diverges?

Is this a rigorous enough way to construct a sequence?

Cayley-Hamilton proof using linear discrete-time systems

Using the binomial theorem to show that $[n]$ has $2^{n-1}$ odd sized subsets

Fundamental group of $\mathbb{R}/\mathbb{Q}$

How can I prove the existence of the set of natural numbers $\mathbb{N}$ in ZFC Set Theory?

51 points are inside a unit square. How do I prove that a circle with radius 1/7 can always cover 3 of them without using the Pigeonhole Principle?

Limit of a strictly increasing sequence bounded by strictly decreasing sequence is sandwiched between the sequences.

Ladders in the first quadrant

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