List questions from analysis

Published on 17 Apr 2026 - 3:48

59

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Existence and uniqueness of the solution of a PDE equation

Published on 12 Apr 2026 - 18:45

207

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Caracterization of strongly convex

Published on 11 Apr 2026 - 18:14

81

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Find the limit of $x(x + 1 - \sin(\frac{1}{1+x})^{-1})$ as $x \rightarrow \infty$

Published on 16 Apr 2026 - 10:51

371

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A weird definition of regular function

Published on 20 Apr 2026 - 17:23

49

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Show directly from the definition of continuity that $f(x)=x^3 +x$ is continuous

Published on 11 Apr 2026 - 18:14

2k

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Uniform continuity of $x\log(x)$

Published on 16 Apr 2026 - 8:40

132

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Isn't there any meaning to talk of open spaces, or of closed space?

Published on 11 Apr 2026 - 22:41

188

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Improper integrals over the reals and surreal numbers

Published on 21 Apr 2026 - 15:36

32

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Evaluation of variants of Fourier coefficient

Published on 12 Apr 2026 - 8:39

449

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Given that $\lim\limits_{n \to \infty}\left(1+\frac{1}{n}\right)^n=e$, show that $1+\frac{1}{1!}+\frac{1}{2!}+\cdots=e$.

Published on 16 Apr 2026 - 21:20

176

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Hopf-Rinow theorem from do Carmo's book, proof problem.

Published on 12 Apr 2026 - 14:46

3.9k

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Show if $Q ∩[0,1]$ is compact?

Published on 11 Apr 2026 - 17:57

183

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Hadamard theorem proof problem at the first lemma in do Carmo's book

Published on 13 Apr 2026 - 21:51

33

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Nontrivial example of closed set relative to subspace but not with respect to original space

Published on 17 Apr 2026 - 13:34

List Question

Proving $f'$=$g'$ has some c such that $g=f+c$

Existence and uniqueness of the solution of a PDE equation

Caracterization of strongly convex

Find the limit of $x(x + 1 - \sin(\frac{1}{1+x})^{-1})$ as $x \rightarrow \infty$

A weird definition of regular function

Show directly from the definition of continuity that $f(x)=x^3 +x$ is continuous

Uniform continuity of $x\log(x)$

Isn't there any meaning to talk of open spaces, or of closed space?

Improper integrals over the reals and surreal numbers

Evaluation of variants of Fourier coefficient

Given that $\lim\limits_{n \to \infty}\left(1+\frac{1}{n}\right)^n=e$, show that $1+\frac{1}{1!}+\frac{1}{2!}+\cdots=e$.

Hopf-Rinow theorem from do Carmo's book, proof problem.

Show if $Q ∩[0,1]$ is compact?

Hadamard theorem proof problem at the first lemma in do Carmo's book

Nontrivial example of closed set relative to subspace but not with respect to original space

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