List questions from real-analysis

Published on 11 Apr 2026 - 0:52

63

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Calculating an area.

Published on 08 Apr 2026 - 23:08

264

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Calculate the sum of the series: $\sum\limits_{n=1}^{\infty}\left ( \frac{3}{n^{2}+n}-\frac{2}{4n^{2}+16n+15} \right )$

Published on 09 Apr 2026 - 3:15

386

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Can one solve $ \int_{0}^\infty\frac{\sin(xb)}{x^2+a^2}dx $ using contour integration?

Published on 09 Apr 2026 - 19:08

69

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studying the convergence of the series $\sum_{n=1}^\infty \frac {3^n}{n^32^n}$

Published on 10 Apr 2026 - 12:10

329

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Why wolfram alpha assumed $ x>0$ as a domain of definition for $x^x $?

Published on 10 Apr 2026 - 3:11

711

Views

Vitali Covering theorem, countable sub-collection?

Published on 10 Apr 2026 - 10:35

164

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Sigma Algebra and Countability/Cocountability

Published on 10 Apr 2026 - 10:35

1.1k

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Consider the metric space of infinite sequences of 0s and 1s under this metric.

Published on 09 Apr 2026 - 0:08

38

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Eigenvalue problem for the derivation in Sobolev spaces

Published on 11 Apr 2026 - 1:13

281

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An alternative way to find the sum of this series?

Published on 10 Apr 2026 - 12:10

108

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(Proof verification): $f(x) = $ sin$^2x$ is uniformly continuous of $\mathbb{R}$

Published on 11 Apr 2026 - 9:14

68

Views

Tricky convergence/divergence of a sum

Published on 10 Apr 2026 - 12:10

1.4k

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Convergence of Maximum of Cauchy Random Variables

Published on 09 Apr 2026 - 0:31

835

Views

Understanding a proof that if $|x|<1$ then $x^n \to 0$

Published on 11 Apr 2026 - 21:17

List Question

Understanding Theorem 9.19 in Baby Rudin

Calculating an area.

Calculate the sum of the series: $\sum\limits_{n=1}^{\infty}\left ( \frac{3}{n^{2}+n}-\frac{2}{4n^{2}+16n+15} \right )$

Can one solve $ \int_{0}^\infty\frac{\sin(xb)}{x^2+a^2}dx $ using contour integration?

studying the convergence of the series $\sum_{n=1}^\infty \frac {3^n}{n^32^n}$

Why wolfram alpha assumed $ x>0$ as a domain of definition for $x^x $?

Vitali Covering theorem, countable sub-collection?

Sigma Algebra and Countability/Cocountability

Consider the metric space of infinite sequences of 0s and 1s under this metric.

Eigenvalue problem for the derivation in Sobolev spaces

An alternative way to find the sum of this series?

(Proof verification): $f(x) = $ sin$^2x$ is uniformly continuous of $\mathbb{R}$

Tricky convergence/divergence of a sum

Convergence of Maximum of Cauchy Random Variables

Understanding a proof that if $|x|<1$ then $x^n \to 0$

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