List questions from upper-lower-bounds

Published on 15 Oct 2018 - 9:42

1.2k

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Upper bound for the sine integral

Published on 15 Oct 2018 - 14:22

46

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Is there a simpler way to show that $x_n = {1\over n^3} \sum_{j=1}^n \sum_{i=1}^j i$ is bounded?

Published on 15 Oct 2018 - 17:57

482

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Bound on $\sum\limits_{n=0}^{x}{\sin{\sqrt{n}}}$

Published on 17 Oct 2018 - 0:11

34

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Proving that any set X that has an upper bound and is non-empty, has a least upper bound

Published on 22 Oct 2018 - 16:37

560

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Prove sequence $x_n = \frac{3n+5}{\sqrt{4n^2 - 1}}$ is bounded.

Published on 25 Mar 2026 - 20:42

105

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Proof verification of $x_n = \sqrt[3]{n^3 + 1} - \sqrt{n^2 - 1}$ is bounded

Published on 23 Oct 2018 - 18:29

79

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Proof verification hat $x_n = \{ \sqrt{n^4 + n^3 +1} - \sqrt{n^4 - n^3 + 1} \}$ is an unbounded sequence

Published on 24 Oct 2018 - 16:54

289

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Second moment of count of Markov chain transitions

Published on 26 Mar 2026 - 20:40

193

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Verify the proof that $x_n = \ln^2(n+1) - \ln^2n$ is a bounded sequence.

Published on 26 Oct 2018 - 15:19

241

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Upper bound on SVM solution

Published on 26 Mar 2026 - 7:37

85

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Product of unbounded functions

Published on 27 Oct 2018 - 13:44

777

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Proving that a sequence $a_n: n\in\mathbb{N}$ is (not) monotonic, bounded and converging

Published on 27 Oct 2018 - 17:16

168

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Formal proof of the sequence involving double factorials $x_n = \frac{(2n)!!}{(2n-1)!!}$ is not bounded.

Published on 26 Mar 2026 - 0:53

72

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How to show that $x_n = \frac{n+1}{\log_2{(n+1)}}$ is unbounded without calculus?

Published on 29 Oct 2018 - 16:13

List Question

Lower bound on the value of a polynomial

Upper bound for the sine integral

Is there a simpler way to show that $x_n = {1\over n^3} \sum_{j=1}^n \sum_{i=1}^j i$ is bounded?

Bound on $\sum\limits_{n=0}^{x}{\sin{\sqrt{n}}}$

Proving that any set X that has an upper bound and is non-empty, has a least upper bound

Prove sequence $x_n = \frac{3n+5}{\sqrt{4n^2 - 1}}$ is bounded.

Proof verification of $x_n = \sqrt[3]{n^3 + 1} - \sqrt{n^2 - 1}$ is bounded

Proof verification hat $x_n = \{ \sqrt{n^4 + n^3 +1} - \sqrt{n^4 - n^3 + 1} \}$ is an unbounded sequence

Second moment of count of Markov chain transitions

Verify the proof that $x_n = \ln^2(n+1) - \ln^2n$ is a bounded sequence.

Upper bound on SVM solution

Product of unbounded functions

Proving that a sequence $a_n: n\in\mathbb{N}$ is (not) monotonic, bounded and converging

Formal proof of the sequence involving double factorials $x_n = \frac{(2n)!!}{(2n-1)!!}$ is not bounded.

How to show that $x_n = \frac{n+1}{\log_2{(n+1)}}$ is unbounded without calculus?

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