Question

Determining a particular limit and its asymptotic behaviour

score 98 · Answer 1 · 2026-04-10 10:01:43

98

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Determining a particular limit and its asymptotic behaviour

Published on 10 Apr 2026 - 10:01

score 41 · Answer 2 · 2026-04-16 20:15:31

41

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What is exactly the asymptotic form of Bessel function?

Published on 16 Apr 2026 - 20:15

score 44 · Answer 3 · 2026-04-24 18:35:10

44

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Taylor series expansion with little-o notation and sequences in the little o notation

Published on 24 Apr 2026 - 18:35

score 268 · Answer 4 · 2026-04-15 10:55:41

268

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Asymptotic behaviour of $E_1(-x) = \Gamma(0,-x)$.

Published on 15 Apr 2026 - 10:55

score 136 · Answer 5 · 2026-04-23 08:43:45

136

Views

What's the growth rate of $\int \frac{x^2}{\log x}$?

Published on 23 Apr 2026 - 8:43

score 33 · Answer 6 · 2026-04-12 01:22:23

33

Views

Sum power series not continuous unit circle

Published on 12 Apr 2026 - 1:22

score 30 · Answer 7 · 2026-04-13 23:19:58

30

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Understanding and proving the asymptotic behavior of $E[\min(\sum_i X_i, k)]$ for i.i.d. Bernoulli random variables

Published on 13 Apr 2026 - 23:19

score 99 · Answer 8 · 2026-04-15 04:58:35

99

Views

How does one prove (log(n))^2 is O(n)?

Published on 15 Apr 2026 - 4:58

score 47 · Answer 9 · 2026-04-10 03:48:13

47

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How to compute asymptotic expression for composition of function

Published on 10 Apr 2026 - 3:48

score 155 · Answer 10 · 2026-04-14 19:10:36

155

Views

Asymptotics of polylogarithm $\mathrm{Li}_{-s}(x) = \sum_{n=1}^\infty n^s x^n$ as $x\to 1^-$

Published on 14 Apr 2026 - 19:10

score 62 · Answer 11 · 2026-04-11 13:03:46

62

Views

Asymptotic expansion of Legendre functions at $x=-1$

Published on 11 Apr 2026 - 13:03

score 26 · Answer 12 · 2026-04-14 12:07:22

26

Views

Prove $\Gamma g_\varepsilon (0) = O( |\varepsilon |^k) $ as $ \varepsilon \to 0$, where $g$ is a smooth function, $\Gamma$ the difference operator

Published on 14 Apr 2026 - 12:07

score 147 · Answer 13 · 2026-04-11 07:45:00

147

Views

Method of steepest descent for $\cos$ integral

Published on 11 Apr 2026 - 7:45

score 201 · Answer 14 · 2026-03-25 14:26:03

201

Views

Leading-Order Asymptotic Approximation of $\int^1_0 e^{-xt^2}\sin (t) dt$ as $x \rightarrow \infty$

Published on 25 Mar 2026 - 14:26

score 499 · Answer 15 · 2026-04-16 04:43:04

499

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Finding $\displaystyle \lim_{n \rightarrow \infty} \sqrt{n} \int_0^1 \left(\frac{\sin t}{t}\right)^n dt$

Published on 16 Apr 2026 - 4:43

List Question

Determining a particular limit and its asymptotic behaviour

What is exactly the asymptotic form of Bessel function?

Taylor series expansion with little-o notation and sequences in the little o notation

Asymptotic behaviour of $E_1(-x) = \Gamma(0,-x)$.

What's the growth rate of $\int \frac{x^2}{\log x}$?

Sum power series not continuous unit circle

Understanding and proving the asymptotic behavior of $E[\min(\sum_i X_i, k)]$ for i.i.d. Bernoulli random variables

How does one prove (log(n))^2 is O(n)?

How to compute asymptotic expression for composition of function

Asymptotics of polylogarithm $\mathrm{Li}_{-s}(x) = \sum_{n=1}^\infty n^s x^n$ as $x\to 1^-$

Asymptotic expansion of Legendre functions at $x=-1$

Prove $\Gamma g_\varepsilon (0) = O( |\varepsilon |^k) $ as $ \varepsilon \to 0$, where $g$ is a smooth function, $\Gamma$ the difference operator

Method of steepest descent for $\cos$ integral

Leading-Order Asymptotic Approximation of $\int^1_0 e^{-xt^2}\sin (t) dt$ as $x \rightarrow \infty$

Finding $\displaystyle \lim_{n \rightarrow \infty} \sqrt{n} \int_0^1 \left(\frac{\sin t}{t}\right)^n dt$

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