List questions from asymptotics

Published on 15 Apr 2026 - 12:56

89

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Bounding an implicitly defined sequence

Published on 14 Apr 2026 - 19:14

191

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Mixing asymptotic notations

Published on 09 Apr 2026 - 5:19

406

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Snags when discovering the asymptotic behavior of an integral

Published on 09 Apr 2026 - 5:39

53

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Big O Notation in two equations

Published on 17 Apr 2026 - 14:23

69

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Integral representation of a function

Published on 11 Apr 2026 - 13:17

241

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An issue with approximations of a recurrence sequence

Published on 06 May 2026 - 7:03

2.3k

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Subtraction of Big $O$'s

Published on 11 Apr 2026 - 11:15

550

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Integral of smooth function

Published on 08 Apr 2026 - 20:03

734

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Asymptotic expansion of the integral $\int_0^1 e^{x^n} dx$ for $n \to \infty$

Published on 13 Apr 2026 - 19:07

65

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Prove the following: Product of Roots

Published on 15 Apr 2026 - 8:45

13.3k

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Limit of $\frac{\log(n!)}{n\log(n)}$ as $n\to\infty$.

Published on 16 Apr 2026 - 15:27

273

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Error in "proof" of $n^2 \in O(n)$.

Published on 13 Apr 2026 - 5:59

128

Views

Solve the recurrence $T(n) = T(\log_2 n) + 13n$

Published on 15 May 2026 - 0:04

2.1k

Views

How to interpret little-o notation in an exponent.

Published on 13 Apr 2026 - 18:53

List Question

How to prove that $\lim_{x\to \infty} x/2^x = 0$

Bounding an implicitly defined sequence

Mixing asymptotic notations

Snags when discovering the asymptotic behavior of an integral

Big O Notation in two equations

Integral representation of a function

An issue with approximations of a recurrence sequence

Subtraction of Big $O$'s

Integral of smooth function

Asymptotic expansion of the integral $\int_0^1 e^{x^n} dx$ for $n \to \infty$

Prove the following: Product of Roots

Limit of $\frac{\log(n!)}{n\log(n)}$ as $n\to\infty$.

Error in "proof" of $n^2 \in O(n)$.

Solve the recurrence $T(n) = T(\log_2 n) + 13n$

How to interpret little-o notation in an exponent.

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