Question

Where've I gone wrong on this Maclaurin series expansion

score 44 · Answer 1 · 2026-04-12 03:20:51

44

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Where've I gone wrong on this Maclaurin series expansion

Published on 12 Apr 2026 - 3:20

score 195 · Answer 2 · 2026-04-11 00:22:22

195

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Relation between series expansion coefficients and original function

Published on 11 Apr 2026 - 0:22

score 97 · Answer 3 · 2026-04-16 19:43:49

97

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Asymptotic behavior of the function $f(x) = x \int_x^\infty \frac{1 - e^{-\frac{1}{4}y^2}}{y^3}dy.$

Published on 16 Apr 2026 - 19:43

score 76 · Answer 4 · 2026-04-12 18:55:40

76

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Is it possible to determine if a power series represents a square integrable function without knowing the closed form of the series?

Published on 12 Apr 2026 - 18:55

score 73 · Answer 5 · 2026-04-12 05:25:03

73

Views

Expansion of an analytic function in the unit disk

Published on 12 Apr 2026 - 5:25

score 85 · Answer 6 · 2026-04-15 17:06:15

85

Views

Showing $\lim_{n\to\infty}\int_{0}^{\pi/4}e^{n\ln\cos x}dx=\lim_{n\to\infty}\int_{0}^\infty e^{-\frac12nx^2}dx$

Published on 15 Apr 2026 - 17:06

score 63 · Answer 7 · 2026-04-10 09:34:43

63

Views

Prove properties rigourously without using the delta function

Published on 10 Apr 2026 - 9:34

score 79 · Answer 8 · 2026-04-16 12:43:02

79

Views

How can I get Taylor expansion of $f(x) = \log(x+1)/(8!x)$ at $x=0?$

Published on 16 Apr 2026 - 12:43

score 62 · Answer 9 · 2026-04-12 04:17:58

62

Views

Taylor series not converging to function.

Published on 12 Apr 2026 - 4:17

score 109 · Answer 10 · 2026-04-11 11:15:03

109

Views

Function to approximate infinite series $\sum_{n=0}^\infty (-1)^n \frac{x^{2n}}{(2n+1)!}$

Published on 11 Apr 2026 - 11:15

score 105 · Answer 11 · 2026-04-14 03:27:44

105

Views

How to expand $(1+ \frac{1}{x})^n$?

Published on 14 Apr 2026 - 3:27

score 50 · Answer 12 · 2026-04-16 05:54:10

50

Views

Convergence of gradient divided by distance

Published on 16 Apr 2026 - 5:54

score 21 · Answer 13 · 2026-04-12 05:04:41

21

Views

Computation in the proof of asymptotic nomality how to deal with $o_p(1)$ in the denominator.

Published on 12 Apr 2026 - 5:04

score 180 · Answer 14 · 2026-04-20 10:05:10

180

Views

Show that the Maclaurin expansion of exact ODE general solution has the same form as the power series solution

Published on 20 Apr 2026 - 10:05

score 50 · Answer 15 · 2026-04-14 18:00:45

50

Views

Asymptotic Approximation for the Laplace Transform as $x \rightarrow \infty$

Published on 14 Apr 2026 - 18:00

List Question

Where've I gone wrong on this Maclaurin series expansion

Relation between series expansion coefficients and original function

Asymptotic behavior of the function $f(x) = x \int_x^\infty \frac{1 - e^{-\frac{1}{4}y^2}}{y^3}dy.$

Is it possible to determine if a power series represents a square integrable function without knowing the closed form of the series?

Expansion of an analytic function in the unit disk

Showing $\lim_{n\to\infty}\int_{0}^{\pi/4}e^{n\ln\cos x}dx=\lim_{n\to\infty}\int_{0}^\infty e^{-\frac12nx^2}dx$

Prove properties rigourously without using the delta function

How can I get Taylor expansion of $f(x) = \log(x+1)/(8!x)$ at $x=0?$

Taylor series not converging to function.

Function to approximate infinite series $\sum_{n=0}^\infty (-1)^n \frac{x^{2n}}{(2n+1)!}$

How to expand $(1+ \frac{1}{x})^n$?

Convergence of gradient divided by distance

Computation in the proof of asymptotic nomality how to deal with $o_p(1)$ in the denominator.

Show that the Maclaurin expansion of exact ODE general solution has the same form as the power series solution

Asymptotic Approximation for the Laplace Transform as $x \rightarrow \infty$

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