List questions from real-analysis

Published on 12 Apr 2026 - 13:38

157

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How to check uniform continuity on disconnected set

Published on 18 Apr 2026 - 12:44

241

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Normal of parabola $y^2=4ax$

Published on 15 Apr 2026 - 22:09

184

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Can't figure out easy limit: $\lim_{x\to 0^+}\frac{\sin(2x^2)}{x^3}$

Published on 15 Apr 2026 - 11:23

210

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Why is the Kolmogorov-Smirnov (Uniform) metric defined by $\sup$ rather than $\max$?

Published on 16 Apr 2026 - 6:02

79

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Let $E \subseteq \mathbb{R}^n$, and $f \in R(E)$, then is the fact that $f$ is continuous on $E$ implies $\mu(E) > 0$?

Published on 15 Apr 2026 - 6:45

38

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find a where $\sum_{n=n(a)}^\infty (-1)^n \frac{(2+n^a)}{n}$ converges and absolutely converges

Published on 15 Apr 2026 - 18:48

704

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Bounding Fejer kernel

Published on 12 Apr 2026 - 20:06

34

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Absolute maximum of a particular real function

Published on 13 Apr 2026 - 4:55

281

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Example of sets that are not measurable?

Published on 20 Apr 2026 - 11:48

1.2k

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Cantor-Lebesgue's theorem

Published on 18 Apr 2026 - 12:08

46

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Given a set $A \subseteq R$,$i \in Z$ ,$A_i=A+i$, $\bigcup_i A_i=R$,{$A_i$} pairwise disjoint, is $A$ necessary an interval?

Published on 11 Apr 2026 - 3:27

78

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Given a set $A_q \subseteq R$,$n \in Z$ ,$q \in Q$ ,$A_n=A_q+nq$, $\bigcup_n A_n=R$,{$A_n$} pairwise disjoint , is $A_q$ a measurable set??

Published on 11 Apr 2026 - 3:27

344

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Convergence of an improper integral with the hyperbolic sine

Published on 14 Apr 2026 - 21:52

376

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A continuous function that is negative at some point will be negative around that point

Published on 14 Apr 2026 - 9:11

List Question

General integral of a differential equation

How to check uniform continuity on disconnected set

Normal of parabola $y^2=4ax$

Can't figure out easy limit: $\lim_{x\to 0^+}\frac{\sin(2x^2)}{x^3}$

Why is the Kolmogorov-Smirnov (Uniform) metric defined by $\sup$ rather than $\max$?

Let $E \subseteq \mathbb{R}^n$, and $f \in R(E)$, then is the fact that $f$ is continuous on $E$ implies $\mu(E) > 0$?

find a where $\sum_{n=n(a)}^\infty (-1)^n \frac{(2+n^a)}{n}$ converges and absolutely converges

Bounding Fejer kernel

Absolute maximum of a particular real function

Example of sets that are not measurable?

Cantor-Lebesgue's theorem

Given a set $A \subseteq R$,$i \in Z$ ,$A_i=A+i$, $\bigcup_i A_i=R$,{$A_i$} pairwise disjoint, is $A$ necessary an interval?

Given a set $A_q \subseteq R$,$n \in Z$ ,$q \in Q$ ,$A_n=A_q+nq$, $\bigcup_n A_n=R$,{$A_n$} pairwise disjoint , is $A_q$ a measurable set??

Convergence of an improper integral with the hyperbolic sine

A continuous function that is negative at some point will be negative around that point

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