List questions from real-analysis

Published on 10 May 2026 - 18:58

26

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Stuck on showing an elementary inequality

Published on 15 Apr 2026 - 7:45

211

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Are there real numbers such that $ \frac{1}{\sqrt{8}}< \liminf n^2 \left| \xi - \frac{m}{n}\right|< \frac{1}{\sqrt{5}} $?

Published on 10 May 2026 - 14:53

36

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Showing a sequence is bounded

Published on 10 Apr 2026 - 19:12

582

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"Recursive definitions" in Tao's Analysis Vol I

Published on 10 May 2026 - 12:53

71

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Does global minimum imply "minimal neighbourhood"

Published on 15 May 2026 - 1:09

300

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Riemann-Lebesgue lemma for simple functions

Published on 11 May 2026 - 3:01

10.7k

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Computing series $\sum_{n=1}^{\infty} 1/n^2$ using Fourier Series

Published on 11 May 2026 - 2:19

5.2k

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Is the "determinant" that shows up accidental?

Published on 15 May 2026 - 9:57

120

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Show Fourier Series Converges in $L^2$ metric

Published on 11 May 2026 - 3:27

113

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find $\lim \sup x_n$ and $\lim \inf x_n$.

Published on 24 Apr 2026 - 19:59

1.7k

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proof $\lim \inf x_n + \lim \inf y_n \le \lim \inf (x_n+y_n)$ (clarification)

Published on 24 Apr 2026 - 20:01

51

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Showing Convergence in Uniform implies convergence L-2 metric

Published on 14 May 2026 - 11:37

532

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Showing that there exists a sequence $C_n > 0$ such that $ C_n \to ∞, $ with $(C_nf_n)_n$ converges to zero a.e

Published on 16 May 2026 - 20:23

48

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calculate Sup of a sequence of functions

Published on 09 Apr 2026 - 13:14

List Question

Convolution theorem for $L^1$ and $L^2$ function

Stuck on showing an elementary inequality

Are there real numbers such that $ \frac{1}{\sqrt{8}}< \liminf n^2 \left| \xi - \frac{m}{n}\right|< \frac{1}{\sqrt{5}} $?

Showing a sequence is bounded

"Recursive definitions" in Tao's Analysis Vol I

Does global minimum imply "minimal neighbourhood"

Riemann-Lebesgue lemma for simple functions

Computing series $\sum_{n=1}^{\infty} 1/n^2$ using Fourier Series

Is the "determinant" that shows up accidental?

Show Fourier Series Converges in $L^2$ metric

find $\lim \sup x_n$ and $\lim \inf x_n$.

proof $\lim \inf x_n + \lim \inf y_n \le \lim \inf (x_n+y_n)$ (clarification)

Showing Convergence in Uniform implies convergence L-2 metric

Showing that there exists a sequence $C_n > 0$ such that $ C_n \to ∞, $ with $(C_nf_n)_n$ converges to zero a.e

calculate Sup of a sequence of functions

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