List questions from analysis

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What is the next limit equal to?

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497

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Alternative to "A course of pure mathematics" by G.H. Hardy

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215

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Sequential compactness and boundedness

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626

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Series of Geometric Means Converges

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171

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Hermite Polynomial Integral Limit

Published on 14 Apr 2026 - 5:47

36

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Prove that $p\le x<p+1$ by well ordering property

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491

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Calculate $\lim_{n \rightarrow \infty}n^x (a_1 a_2\dots a_n)^{\frac{1}{n}}$.

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70

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Why $p(t)=e^{2\pi it}$ is open?

Published on 15 Apr 2026 - 8:16

102

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local homeomorphism of the circle

Published on 13 Apr 2026 - 18:36

56

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Two variable trigonometric inequality

Published on 12 Apr 2026 - 23:39

163

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How to choose smooth function $f:\mathbb R \to [0,1]$?

Published on 11 Apr 2026 - 12:24

40

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Explicit construction of Hamilton's counterexample for Implicit Function Theorem in Frechet Space

Published on 25 Mar 2026 - 3:07

72

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Is it true that $\frac{1}{meas(\Omega) }\int_{\Omega}\nabla u\in conv [\nabla u(\Omega)]$?

Published on 11 Apr 2026 - 19:02

493

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$BV(\Omega)$ is embedded compactly in $L^1 _{\mathrm{loc}} (\Omega)$

Published on 13 Apr 2026 - 2:22

List Question

Is it possible for a vanishing entire function to have constant modulus "for a while"?

What is the next limit equal to?

Alternative to "A course of pure mathematics" by G.H. Hardy

Sequential compactness and boundedness

Series of Geometric Means Converges

Hermite Polynomial Integral Limit

Prove that $p\le x<p+1$ by well ordering property

Calculate $\lim_{n \rightarrow \infty}n^x (a_1 a_2\dots a_n)^{\frac{1}{n}}$.

Why $p(t)=e^{2\pi it}$ is open?

local homeomorphism of the circle

Two variable trigonometric inequality

How to choose smooth function $f:\mathbb R \to [0,1]$?

Explicit construction of Hamilton's counterexample for Implicit Function Theorem in Frechet Space

Is it true that $\frac{1}{meas(\Omega) }\int_{\Omega}\nabla u\in conv [\nabla u(\Omega)]$?

$BV(\Omega)$ is embedded compactly in $L^1 _{\mathrm{loc}} (\Omega)$

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