List questions from real-analysis

Published on 14 May 2026 - 17:13

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Any set E of real numbers with positive outer measure contains a subset that fails to be measurable

Published on 10 May 2026 - 19:40

1.1k

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Property of inverse of Fourier transform

Published on 10 May 2026 - 18:44

482

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Compact subset of $C([0,1])$

Published on 13 Apr 2026 - 12:20

54

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Confusion in Subsets and subspace

Published on 09 Apr 2026 - 20:17

3k

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Prove addition is commutative using axioms, definitions, and induction

Published on 14 May 2026 - 8:19

104

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Closure of $(0, 1)$ and Convergence of $\frac{1}{n}$

Published on 14 May 2026 - 17:13

45

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$(b^m)^{1/n}=(b^p)^{1/q}$ implies $b^r =(b^m)^{1/n}$ is well-defined

Published on 17 Apr 2026 - 6:05

88

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Is it true that $\inf(A+B)\leq \inf(A) + b$?

Published on 12 Apr 2026 - 16:58

121

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$b^{r+s}=b^r b^s$

Published on 15 Apr 2026 - 20:19

2.6k

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Closure of a Ball is Contained in Closed Ball (usual metric)

Published on 11 Apr 2026 - 14:06

114

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Why "Lagrange's' MVT?

Published on 10 May 2026 - 14:57

120

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Compute the integral $\int \frac{1}{-x + \alpha x^n + \frac{\alpha}{2} n (1-x) x^{n-1}}dx$

Published on 24 Apr 2026 - 16:12

81

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Doubt Regarding Termwise differentiation of Fourier Series

Published on 11 May 2026 - 0:32

185

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Minkowski sum of two borel sets

Published on 11 May 2026 - 2:45

List Question

What is the simplest way to show that $x\log(1+\frac{a}{x})$ is an increasing function of $x$?

Any set E of real numbers with positive outer measure contains a subset that fails to be measurable

Property of inverse of Fourier transform

Compact subset of $C([0,1])$

Confusion in Subsets and subspace

Prove addition is commutative using axioms, definitions, and induction

Closure of $(0, 1)$ and Convergence of $\frac{1}{n}$

$(b^m)^{1/n}=(b^p)^{1/q}$ implies $b^r =(b^m)^{1/n}$ is well-defined

Is it true that $\inf(A+B)\leq \inf(A) + b$?

$b^{r+s}=b^r b^s$

Closure of a Ball is Contained in Closed Ball (usual metric)

Why "Lagrange's' MVT?

Compute the integral $\int \frac{1}{-x + \alpha x^n + \frac{\alpha}{2} n (1-x) x^{n-1}}dx$

Doubt Regarding Termwise differentiation of Fourier Series

Minkowski sum of two borel sets

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