Question

Taylor's series expansion of (ln(x/a))^2

score 97 · Answer 1 · 2020-01-14 02:53:47

97

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Taylor's series expansion of (ln(x/a))^2

Published on 14 Jan 2020 - 2:53

score 58 · Answer 2 · 2020-01-14 09:11:08

58

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Find a function having an expansion

Published on 14 Jan 2020 - 9:11

score 37 · Answer 3 · 2020-01-14 14:43:58

37

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Taylor series for $f(x)=\sin^2(x) \cdot \sqrt[4]{x}$

Published on 14 Jan 2020 - 14:43

score 69 · Answer 4 · 2020-01-15 14:40:24

69

Views

Evaluating the sum of the series $\sum_{n=1}^\infty \frac{1}{{((2 n - 1) \pi)^2 - m^2}}$ manually.

Published on 15 Jan 2020 - 14:40

score 113 · Answer 5 · 2026-03-25 17:26:11

113

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I think I found a mathematical paradox...

Published on 25 Mar 2026 - 17:26

score 34 · Answer 6 · 2020-01-15 20:36:42

34

Views

Proving that the Taylor exansions of $f$ is equal to $f$ at the order $n$.

Published on 15 Jan 2020 - 20:36

score 103 · Answer 7 · 2026-03-25 06:50:35

103

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How do I need to use Euler-Maclaurin summation formula to calcuate the limits $\lim S_n$?

Published on 25 Mar 2026 - 6:50

score 33 · Answer 8 · 2026-03-25 04:39:42

33

Views

how to prove the following for first order taylor's approximation?

Published on 25 Mar 2026 - 4:39

score 37 · Answer 9 · 2020-01-16 19:26:51

37

Views

Matrix Taylor expansion of $[(X+\Delta)^T (X+\Delta)]^{-1}$

Published on 16 Jan 2020 - 19:26

score 235 · Answer 10 · 2026-03-26 10:59:40

235

Views

Does this "inverse Taylor series" exist in literature?

Published on 26 Mar 2026 - 10:59

score 48 · Answer 11 · 2026-03-31 06:06:22

48

Views

Find a minimal $N \in \mathbb{N}$ such that $|f(x)-T_Nf(x,0)| \le 10^{-6}$ without using Lagrange

Published on 31 Mar 2026 - 6:06

score 50 · Answer 12 · 2026-03-26 08:02:25

50

Views

Prove that $z=0$ is an essential singularity of $g(z)=e^{\frac{1}{z}}f(z)$ when $f(z)$ is analytic on $z=0$

Published on 26 Mar 2026 - 8:02

score 37 · Answer 13 · 2020-01-20 11:39:33

37

Views

Taylor expansion development related to Bernouli numbers.

Published on 20 Jan 2020 - 11:39

score 258 · Answer 14 · 2020-01-20 13:00:11

258

Views

Solve $y'' - xy' + x^2 = 0$ with taylor series

Published on 20 Jan 2020 - 13:00

score 78 · Answer 15 · 2020-01-20 15:27:38

78

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Third order Taylor polynomial of $f:(0, \infty) \times \mathbb{R} \to \mathbb{R}$ given by $f(x,y) = x^y$

Published on 20 Jan 2020 - 15:27

List Question

Taylor's series expansion of (ln(x/a))^2

Find a function having an expansion

Taylor series for $f(x)=\sin^2(x) \cdot \sqrt[4]{x}$

Evaluating the sum of the series $\sum_{n=1}^\infty \frac{1}{{((2 n - 1) \pi)^2 - m^2}}$ manually.

I think I found a mathematical paradox...

Proving that the Taylor exansions of $f$ is equal to $f$ at the order $n$.

How do I need to use Euler-Maclaurin summation formula to calcuate the limits $\lim S_n$?

how to prove the following for first order taylor's approximation?

Matrix Taylor expansion of $[(X+\Delta)^T (X+\Delta)]^{-1}$

Does this "inverse Taylor series" exist in literature?

Find a minimal $N \in \mathbb{N}$ such that $|f(x)-T_Nf(x,0)| \le 10^{-6}$ without using Lagrange

Prove that $z=0$ is an essential singularity of $g(z)=e^{\frac{1}{z}}f(z)$ when $f(z)$ is analytic on $z=0$

Taylor expansion development related to Bernouli numbers.

Solve $y'' - xy' + x^2 = 0$ with taylor series

Third order Taylor polynomial of $f:(0, \infty) \times \mathbb{R} \to \mathbb{R}$ given by $f(x,y) = x^y$

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