List questions from real-analysis

Published on 17 Apr 2026 - 16:51

89

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$\sqrt {3} $ is irrational (proof verification)

Published on 11 Apr 2026 - 3:00

3.8k

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The gradient as a limit of a difference quotient

Published on 11 May 2026 - 5:03

74

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Showing that the series $\sum 3^{-k}{\sqrt{1-e^{-k}}}$ converges.

Published on 14 Apr 2026 - 21:02

122

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Transitions from $\frac{1}{n}$ to $\epsilon$ in real analysis proofs

Published on 12 Apr 2026 - 18:46

89

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is $\frac{g(x)}{h(x)}>\frac{1-G(x)}{1-H(x)}$ true if $G(x) > H(x) > x$ on (0,1)?

Published on 05 May 2026 - 10:12

957

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Prove that sup $f(x)$ $\le$ inf $g(y)$. (proof verification)

Published on 10 May 2026 - 21:57

317

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Find with proof the infimum and supremum of a sequence

Published on 19 Apr 2026 - 12:56

198

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Checking two infinite sums are equal (Green's functions for heat eq)

Published on 14 May 2026 - 22:56

205

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An inequality with Sobolev norm.

Published on 10 May 2026 - 12:14

171

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A property of $\Gamma$-convergence

Published on 12 Apr 2026 - 22:03

53

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Turning a function convex

Published on 14 May 2026 - 17:07

6.1k

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How can we come up with the definition of natural logarithm?

Published on 10 May 2026 - 13:50

1k

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Discrete set in $\mathbb{R^2}$

Published on 10 May 2026 - 13:46

30

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Study the convergence of the sequence defined by the sum of all modules of $\ z_n$.

Published on 10 May 2026 - 23:29

List Question

Is sum of infinite exponential functions an entire function?

$\sqrt {3} $ is irrational (proof verification)

The gradient as a limit of a difference quotient

Showing that the series $\sum 3^{-k}{\sqrt{1-e^{-k}}}$ converges.

Transitions from $\frac{1}{n}$ to $\epsilon$ in real analysis proofs

is $\frac{g(x)}{h(x)}>\frac{1-G(x)}{1-H(x)}$ true if $G(x) > H(x) > x$ on (0,1)?

Prove that sup $f(x)$ $\le$ inf $g(y)$. (proof verification)

Find with proof the infimum and supremum of a sequence

Checking two infinite sums are equal (Green's functions for heat eq)

An inequality with Sobolev norm.

A property of $\Gamma$-convergence

Turning a function convex

How can we come up with the definition of natural logarithm?

Discrete set in $\mathbb{R^2}$

Study the convergence of the sequence defined by the sum of all modules of $\ z_n$.

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