List questions from real-analysis

Published on 14 May 2026 - 12:46

983

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On the proof that $\|\cdot\|_1,\|\cdot\|_2,\|\cdot\|_\infty$ are equivalent on $\mathbb R^n$

Published on 10 May 2026 - 18:26

60

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Error in Problem Statement of Prob. 2 Chap. 2 in Rudin's RCA?

Published on 13 Apr 2026 - 19:54

1.1k

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Is the complement of a bounded set bounded?

Published on 14 May 2026 - 20:52

109

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Prove that $a_n=\frac{n}{n+1}$ converges

Published on 19 Apr 2026 - 17:35

99

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$\lim_{n\to \infty} n(\alpha -\log(\log n))$

Published on 19 Apr 2026 - 17:25

761

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Show that $(C([a,b]),\|{\cdot}\|_2)$ is not a complete normed vector space

Published on 11 May 2026 - 3:27

110

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Kernel of finitely additive function on $\mathbf{N}$ and Borel sets

Published on 13 May 2026 - 8:57

538

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Riemann integral of cantor set $1/5^{n}$

Published on 10 May 2026 - 15:09

49

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Two solutions to ODE converge to single solution at infinity

Published on 15 Apr 2026 - 12:57

150

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Theorem 33.4 ii: Ross, Elementary Analysis 2nd Edition

Published on 16 Apr 2026 - 5:36

56

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contradiction on completness of $C^0_\infty$

Published on 10 May 2026 - 22:58

709

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Is the $L^{p}$ norm smooth?

Published on 10 May 2026 - 22:05

1.7k

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Proof/Answer Verification: LimSup And LimInf

Published on 10 May 2026 - 14:58

54

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Show $g(n)$ takes a finite value for every $n$ for the function $g(n) = \int_{\mathbb{R}} f(x) \sin (nx) \, dx$ where $n \in \mathbb{R}$.

Published on 11 May 2026 - 8:40

List Question

Finding roots of a Legendre polynomial

On the proof that $\|\cdot\|_1,\|\cdot\|_2,\|\cdot\|_\infty$ are equivalent on $\mathbb R^n$

Error in Problem Statement of Prob. 2 Chap. 2 in Rudin's RCA?

Is the complement of a bounded set bounded?

Prove that $a_n=\frac{n}{n+1}$ converges

$\lim_{n\to \infty} n(\alpha -\log(\log n))$

Show that $(C([a,b]),\|{\cdot}\|_2)$ is not a complete normed vector space

Kernel of finitely additive function on $\mathbf{N}$ and Borel sets

Riemann integral of cantor set $1/5^{n}$

Two solutions to ODE converge to single solution at infinity

Theorem 33.4 ii: Ross, Elementary Analysis 2nd Edition

contradiction on completness of $C^0_\infty$

Is the $L^{p}$ norm smooth?

Proof/Answer Verification: LimSup And LimInf

Show $g(n)$ takes a finite value for every $n$ for the function $g(n) = \int_{\mathbb{R}} f(x) \sin (nx) \, dx$ where $n \in \mathbb{R}$.

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