List questions from real-analysis

Published on 09 Apr 2026 - 0:07

189

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$\lim_{n\to \infty} {1\over n}\sqrt[n]{(n+1)(n+2)\cdots(2n)}$

Published on 06 Apr 2026 - 2:40

411

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Understanding notation for Holder's inequality with the counting measure

Published on 09 Apr 2026 - 1:01

98

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A Rudin Counterexample. How can we show that $f$ is not measurable without Fubini?

Published on 06 Apr 2026 - 11:41

49

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McLaurin expansions help

Published on 03 Apr 2026 - 9:31

103

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Computing : $\lim_{x\to \infty} \frac{\sqrt{4x^2+5}-3}{\sqrt[3]{x^4}-1} $

Published on 10 Apr 2026 - 1:35

306

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Does $\sum\limits_{n=1}^\infty\frac{1}{n^2}(a_1+\cdots+ a_n)$ converges when $a_n$ converges?

Published on 24 Mar 2026 - 23:56

218

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Computing : $\lim_{x\to 1} \frac{\sqrt{4x^2+5}-3}{\sqrt[3]{x^4}-1} $ without L'Hopital or derivative

Published on 06 Apr 2026 - 17:59

30

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Boundness type property of homogenous functions in $\mathbb{R}^n$

Published on 10 Apr 2026 - 8:25

235

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Proving the smoothness (indefinitely differentiability) of $2 \cos^{-1}(1-x)$.

Published on 02 Apr 2026 - 0:15

151

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Is this a case of the extended Riemann integral?

Published on 10 Apr 2026 - 8:25

92

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How to see the sign of an entangled PDE

Published on 09 Apr 2026 - 0:32

326

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Evaluating $\lim\limits_{x\to \infty}\frac{x^2}{2^x-1}$

Published on 06 Apr 2026 - 20:33

372

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Show that there is a unique polynomial of degree at most $2n+1$ such that $q^{[k]}(x_1)=a_k,$ $q^{[k]}(x_2)=b_k$ for $k=0, \dots, n$.

Published on 09 Apr 2026 - 0:09

195

Views

Confusion about limit of log

Published on 09 Apr 2026 - 1:59

List Question

When does $\lim_{n\to\infty}f(x+\frac{1}{n})=f(x)$ a.e. fail

$\lim_{n\to \infty} {1\over n}\sqrt[n]{(n+1)(n+2)\cdots(2n)}$

Understanding notation for Holder's inequality with the counting measure

A Rudin Counterexample. How can we show that $f$ is not measurable without Fubini?

McLaurin expansions help

Computing : $\lim_{x\to \infty} \frac{\sqrt{4x^2+5}-3}{\sqrt[3]{x^4}-1} $

Does $\sum\limits_{n=1}^\infty\frac{1}{n^2}(a_1+\cdots+ a_n)$ converges when $a_n$ converges?

Computing : $\lim_{x\to 1} \frac{\sqrt{4x^2+5}-3}{\sqrt[3]{x^4}-1} $ without L'Hopital or derivative

Boundness type property of homogenous functions in $\mathbb{R}^n$

Proving the smoothness (indefinitely differentiability) of $2 \cos^{-1}(1-x)$.

Is this a case of the extended Riemann integral?

How to see the sign of an entangled PDE

Evaluating $\lim\limits_{x\to \infty}\frac{x^2}{2^x-1}$

Show that there is a unique polynomial of degree at most $2n+1$ such that $q^{[k]}(x_1)=a_k,$ $q^{[k]}(x_2)=b_k$ for $k=0, \dots, n$.

Confusion about limit of log

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