Question

Differentiating closed formulas in formal power series

score 287 · Answer 1 · 2026-03-27 10:31:39

287

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Differentiating closed formulas in formal power series

Published on 27 Mar 2026 - 10:31

score 376 · Answer 2 · 2026-03-26 04:36:31

376

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Asymtotes of a general algebraic curve ( basically of the form of polynomial)

Published on 26 Mar 2026 - 4:36

score 44 · Answer 3 · 2026-03-25 07:48:45

44

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Expected price change decomposition from finance: bogus or can it be made rigorous?

Published on 25 Mar 2026 - 7:48

score 1.8k · Answer 4 · 2018-09-16 20:11:32

What is the difference between a Taylor series, Taylor polynomial, analytic function and a quadradic approximation?

score 312 · Answer 5 · 2018-09-17 01:02:19

312

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Approximate $\pi$ using $tan(\pi/4) = 1$

Published on 17 Sep 2018 - 1:02

score 84 · Answer 6 · 2026-03-17 11:47:55

84

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Computing the errors of a Taylor approximation by comparison. Then deriving a bound on the accuracy for the Taylor series.

Published on 17 Mar 2026 - 11:47

score 464 · Answer 7 · 2026-03-17 01:34:17

464

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Use Taylor's theorem to compute a quadratic approximation of $f : \mathbb{R}^2 \rightarrow \mathbb{R}$

Published on 17 Mar 2026 - 1:34

score 185 · Answer 8 · 2026-03-28 05:39:08

185

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Evaluate: $\lim\limits_{r \to \infty} \frac{\sqrt{r}}{e^{r}}\sum_{n=0}^{\infty}\frac{\Gamma{(n+3/2)}r^n}{(n!)^2}$

Published on 28 Mar 2026 - 5:39

score 61 · Answer 9 · 2018-09-18 22:22:17

61

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Limit $\lim_{x\to \frac 1 {e^2}}\frac{2+5\log x}{2+\log x}$ with Taylor

Published on 18 Sep 2018 - 22:22

score 2.3k · Answer 10 · 2018-09-20 12:44:15

2.3k

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integral form of Taylor theorem remainder multivariable

Published on 20 Sep 2018 - 12:44

score 213 · Answer 11 · 2026-03-27 21:19:35

213

Views

Signs of Maclaurin coefficients of $\frac{1}{e^x+q}$

Published on 27 Mar 2026 - 21:19

score 90 · Answer 12 · 2018-09-20 17:16:35

90

Views

Series Expansion of $\frac{f(x)}{g(x)}$

Published on 20 Sep 2018 - 17:16

score 590 · Answer 13 · 2026-03-28 11:03:53

590

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Computing $n$-th derivative $f(x)= \frac{\cos(5x^4)-1}{x^7}$ using MacLaurin Series.

Published on 28 Mar 2026 - 11:03

score 3.9k · Answer 14 · 2018-09-21 21:29:25

3.9k

Views

How to find MacLaurin polynomial of high degree

Published on 21 Sep 2018 - 21:29

score 431 · Answer 15 · 2026-03-26 07:57:04

431

Views

Problems with Taylor Series to Approximate Square Roots

Published on 26 Mar 2026 - 7:57

List Question

Differentiating closed formulas in formal power series

Asymtotes of a general algebraic curve ( basically of the form of polynomial)

Expected price change decomposition from finance: bogus or can it be made rigorous?

What is the difference between a Taylor series, Taylor polynomial, analytic function and a quadradic approximation?

Approximate $\pi$ using $tan(\pi/4) = 1$

Computing the errors of a Taylor approximation by comparison. Then deriving a bound on the accuracy for the Taylor series.

Use Taylor's theorem to compute a quadratic approximation of $f : \mathbb{R}^2 \rightarrow \mathbb{R}$

Evaluate: $\lim\limits_{r \to \infty} \frac{\sqrt{r}}{e^{r}}\sum_{n=0}^{\infty}\frac{\Gamma{(n+3/2)}r^n}{(n!)^2}$

Limit $\lim_{x\to \frac 1 {e^2}}\frac{2+5\log x}{2+\log x}$ with Taylor

integral form of Taylor theorem remainder multivariable

Signs of Maclaurin coefficients of $\frac{1}{e^x+q}$

Series Expansion of $\frac{f(x)}{g(x)}$

Computing $n$-th derivative $f(x)= \frac{\cos(5x^4)-1}{x^7}$ using MacLaurin Series.

How to find MacLaurin polynomial of high degree

Problems with Taylor Series to Approximate Square Roots

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