List questions from real-analysis

Published on 14 Apr 2026 - 17:46

34

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Let $k_i = \{x \in \mathbb N, m\in \mathbb N: x=im\}$ for $i \in \mathbb N$ and $i>1$. Is the $\cap_{i=1}^{\infty} k_i$ empty?

Published on 16 Apr 2026 - 10:11

74

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Riemann Sum. Check proof.

Published on 29 Apr 2026 - 12:54

313

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Demonstrate that $(x+y)\ln \left(\frac{x+y}{2}\right) \leq x\ln x +y\ln y$

Published on 21 Apr 2026 - 7:54

407

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Check proof. Riemann sum for product of two functions.

Published on 19 Apr 2026 - 12:30

41

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Is it true that $\lim_{u\to 0}f\big(u,g(u)\big)=0$

Published on 15 Apr 2026 - 20:29

779

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Complex Analytic Proof of Fundamental Theorem of Algebra

Published on 09 Apr 2026 - 12:06

101

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Showing that a subset of a metric space is open. Strip in $\mathbb R^2$

Published on 12 Apr 2026 - 1:11

144

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Do we cheat on $\int e^x$?

Published on 19 Apr 2026 - 16:24

329

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Green's second identity for unit ball [Stein and Shakarchi]

Published on 19 Apr 2026 - 16:41

75

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Definition of $l^\infty$ convergence

Published on 11 Apr 2026 - 14:21

106

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show that non degeneracy sets are equipotent between them.

Published on 04 May 2026 - 11:51

232

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Example of a multivariable nondifferentiable function with directional derivatives.

Published on 11 Apr 2026 - 18:57

477

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Every Point on a Surface is a Boundary point or a Interior Point

Published on 31 Mar 2026 - 10:00

1.6k

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Inverse image of compact set under continuous function compact?

Published on 10 Apr 2026 - 18:14

List Question

Doob's continuous martingale convergence theorem

Let $k_i = \{x \in \mathbb N, m\in \mathbb N: x=im\}$ for $i \in \mathbb N$ and $i>1$. Is the $\cap_{i=1}^{\infty} k_i$ empty?

Riemann Sum. Check proof.

Demonstrate that $(x+y)\ln \left(\frac{x+y}{2}\right) \leq x\ln x +y\ln y$

Check proof. Riemann sum for product of two functions.

Is it true that $\lim_{u\to 0}f\big(u,g(u)\big)=0$

Complex Analytic Proof of Fundamental Theorem of Algebra

Showing that a subset of a metric space is open. Strip in $\mathbb R^2$

Do we cheat on $\int e^x$?

Green's second identity for unit ball [Stein and Shakarchi]

Definition of $l^\infty$ convergence

show that non degeneracy sets are equipotent between them.

Example of a multivariable nondifferentiable function with directional derivatives.

Every Point on a Surface is a Boundary point or a Interior Point

Inverse image of compact set under continuous function compact?

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