Question

Approximation to a composite function near 0 and order of remainder

score 35 · Answer 1 · 2026-04-13 00:17:42

35

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Approximation to a composite function near 0 and order of remainder

Published on 13 Apr 2026 - 0:17

score 136 · Answer 2 · 2026-03-28 15:19:44

136

Views

Rough average length for the hailstone sequence produced from $n$?

Published on 28 Mar 2026 - 15:19

score 143 · Answer 3 · 2026-04-11 16:31:21

143

Views

Little-$o$ notation in CLT proof using Levy Continuity Theorem

Published on 11 Apr 2026 - 16:31

score 82 · Answer 4 · 2026-04-16 03:55:12

82

Views

Puzzled by $\lim_{x \to +\infty} (\sqrt{x^2 + x} - x) = \lim_{x \to +\infty} \frac{x}{\sqrt{x^2 + x} + x}$

Published on 16 Apr 2026 - 3:55

score 45 · Answer 5 · 2026-04-13 07:07:14

45

Views

Behavior of a squared-integrable function close to a specific value of $x$.

Published on 13 Apr 2026 - 7:07

score 98 · Answer 6 · 2026-04-10 23:00:58

98

Views

Asymptotic growth of recurrence

Published on 10 Apr 2026 - 23:00

score 164 · Answer 7 · 2026-04-15 18:55:10

164

Views

Asymptotics of $p_k$-adic valuation of the sum of the divisors of the $n$-th primorial

Published on 15 Apr 2026 - 18:55

score 65 · Answer 8 · 2026-04-17 08:07:46

65

Views

Evaluate the sum or asymptotic expansion of $\sum_{p\ge 3} \frac{\log \left({p}\right)}{{p}^{2} - 1}$

Published on 17 Apr 2026 - 8:07

score 755 · Answer 9 · 2026-04-13 14:40:07

755

Views

Asymptotics of $\displaystyle{\sum_{i=0}^n\sqrt{i(n-i)}}$ as $n\to+\infty$

Published on 13 Apr 2026 - 14:40

score 71 · Answer 10 · 2026-04-15 20:28:30

71

Views

Is $\int_{0}^{1}\exp\left(-\frac{n(x-Ks)^2}{2Ks}\right)s^{\alpha-3/2}(1-s)^{\beta-1}\mathop{\mathrm ds}$ approximately Gaussian as $K\rightarrow 0$?

Published on 15 Apr 2026 - 20:28

score 59 · Answer 11 · 2026-03-25 11:20:08

59

Views

$g(n)$ upperbounds $f(n)$ but graph shows otherwise

Published on 25 Mar 2026 - 11:20

score 87 · Answer 12 · 2026-04-14 08:53:42

87

Views

Asymptotics of a nonlinear PDE

Published on 14 Apr 2026 - 8:53

score 39 · Answer 13 · 2026-04-16 18:01:53

39

Views

Asymptotic equation $e^{-1}(1 + t^{-1})^t = 1 - \dfrac{1}{2}t^{-1} + O(t^{-2})$

Published on 16 Apr 2026 - 18:01

score 125 · Answer 14 · 2026-04-11 11:04:29

125

Views

Little gap in understanding an argument from Hardy's book.

Published on 11 Apr 2026 - 11:04

score 17 · Answer 15 · 2026-04-24 04:26:23

Asymptotic behavior of a bandwith $\hat{h}_n^{2(\bar{s}-1)} \exp (2 / \hat{h}_n^{\bar{s}}) =O(h_0^{\bar{s}-1} \exp \left(2 / h_0^{\bar{s}}\right))$

List Question

Approximation to a composite function near 0 and order of remainder

Rough average length for the hailstone sequence produced from $n$?

Little-$o$ notation in CLT proof using Levy Continuity Theorem

Puzzled by $\lim_{x \to +\infty} (\sqrt{x^2 + x} - x) = \lim_{x \to +\infty} \frac{x}{\sqrt{x^2 + x} + x}$

Behavior of a squared-integrable function close to a specific value of $x$.

Asymptotic growth of recurrence

Asymptotics of $p_k$-adic valuation of the sum of the divisors of the $n$-th primorial

Evaluate the sum or asymptotic expansion of $\sum_{p\ge 3} \frac{\log \left({p}\right)}{{p}^{2} - 1}$

Asymptotics of $\displaystyle{\sum_{i=0}^n\sqrt{i(n-i)}}$ as $n\to+\infty$

Is $\int_{0}^{1}\exp\left(-\frac{n(x-Ks)^2}{2Ks}\right)s^{\alpha-3/2}(1-s)^{\beta-1}\mathop{\mathrm ds}$ approximately Gaussian as $K\rightarrow 0$?

$g(n)$ upperbounds $f(n)$ but graph shows otherwise

Asymptotics of a nonlinear PDE

Asymptotic equation $e^{-1}(1 + t^{-1})^t = 1 - \dfrac{1}{2}t^{-1} + O(t^{-2})$

Little gap in understanding an argument from Hardy's book.

Asymptotic behavior of a bandwith $\hat{h}_n^{2(\bar{s}-1)} \exp (2 / \hat{h}_n^{\bar{s}}) =O(h_0^{\bar{s}-1} \exp \left(2 / h_0^{\bar{s}}\right))$

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