List questions from real-analysis

Published on 09 Apr 2026 - 2:21

356

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Statements on function with finite integral over $[0, \inf[$

Published on 10 Apr 2026 - 17:06

571

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Find the domain of convergence of the series

Published on 05 Apr 2026 - 21:38

80

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Trying to determine $\lim_{x\to\infty }\frac {x}{\sin x} $

Published on 10 Apr 2026 - 8:25

1.2k

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Removing closed sets to form Cantor Middle Third Set

Published on 09 Apr 2026 - 20:28

417

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Are there any analysis textbooks like Charles Pinter's A book of abstract algebra?

Published on 08 Apr 2026 - 22:28

290

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Limit of $\lim\limits_{n\to+\infty}\left(\cos\frac{x}{n} + \sin\frac{2x}{n}\right)^n $

Published on 31 Mar 2026 - 5:24

68

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Proof of a generic limit with log and exponential

Published on 10 Apr 2026 - 19:39

521

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Show that $C-C=[-1,1].$

Published on 10 Apr 2026 - 17:11

833

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$f'(x)=af(x) \Rightarrow f(x)=e^{ax} f(0)$

Published on 09 Apr 2026 - 13:06

226

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The subsequential limits of a sequence {$p_n$} in a metric space $X$ form a closed subset of $X$ (Rudin)

Published on 24 Mar 2026 - 22:14

171

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Prove the set is not connected

Published on 09 Apr 2026 - 21:51

290

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Sobolev space $H^s(Q)$ is Hilbert

Published on 10 Apr 2026 - 3:09

48

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How to show $\sec^{-1}(1+x) = O(x^{1/2})$ as $x\rightarrow 0$

Published on 03 Apr 2026 - 14:56

152

Views

Do sequence of converging affine linear functions always converge to an affine linear function?

Published on 24 Mar 2026 - 22:12

List Question

A countable set has outer measure zero. Explanation of Royden example.

Statements on function with finite integral over $[0, \inf[$

Find the domain of convergence of the series

Trying to determine $\lim_{x\to\infty }\frac {x}{\sin x} $

Removing closed sets to form Cantor Middle Third Set

Are there any analysis textbooks like Charles Pinter's A book of abstract algebra?

Limit of $\lim\limits_{n\to+\infty}\left(\cos\frac{x}{n} + \sin\frac{2x}{n}\right)^n $

Proof of a generic limit with log and exponential

Show that $C-C=[-1,1].$

$f'(x)=af(x) \Rightarrow f(x)=e^{ax} f(0)$

The subsequential limits of a sequence {$p_n$} in a metric space $X$ form a closed subset of $X$ (Rudin)

Prove the set is not connected

Sobolev space $H^s(Q)$ is Hilbert

How to show $\sec^{-1}(1+x) = O(x^{1/2})$ as $x\rightarrow 0$

Do sequence of converging affine linear functions always converge to an affine linear function?

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