Question

Tools for finding bounds on power series

score 97 · Answer 1 · 2026-03-28 10:03:55

97

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Tools for finding bounds on power series

Published on 28 Mar 2026 - 10:03

score 109 · Answer 2 · 2018-08-24 16:42:21

109

Views

Evaluation $(n+1)th$ derivative of $\ln(1-x^2)$

Published on 24 Aug 2018 - 16:42

score 68 · Answer 3 · 2018-08-24 18:12:21

68

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Notation of the Taylor Polynomial with Lagrange Remainder

Published on 24 Aug 2018 - 18:12

score 75 · Answer 4 · 2018-08-25 09:42:02

75

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Taylor series with initial value of infinity

Published on 25 Aug 2018 - 9:42

score 220 · Answer 5 · 2026-03-24 06:20:11

220

Views

Intuition of error in Taylor appoximation and finding error in approximation of a function by a constant function

Published on 24 Mar 2026 - 6:20

score 720 · Answer 6 · 2018-08-26 11:46:13

720

Views

Interesting limit: $I(n)=\lim_{x \to 0} (e^x-1)^{-n} - \left(\frac{x}{1!}+\frac {x^2}{2!}+\dotsb+\frac{x^n}{n!}\right)^{-n}$

Published on 26 Aug 2018 - 11:46

score 202 · Answer 7 · 2026-03-25 13:56:29

202

Views

Can you turn a Taylor series into a product and is there any application for it?

Published on 25 Mar 2026 - 13:56

score 47 · Answer 8 · 2018-08-27 12:38:01

47

Views

Taylor/McLaurin series of $f(x)=(\sqrt{1-2x+x^3}-\sqrt[3]{1-3x+x^2})\cos\pi x$

Published on 27 Aug 2018 - 12:38

score 4.2k · Answer 9 · 2026-03-26 21:27:39

4.2k

Views

The Taylor expansion of a metric: a natural viewpoint?

Published on 26 Mar 2026 - 21:27

score 116 · Answer 10 · 2018-08-27 22:15:26

116

Views

If $p(x) = x^4-4x^3+6x^2-4x+1$ is the Taylor polynomial of $f$ around $x=1$, then $1$ is a local minimum

Published on 27 Aug 2018 - 22:15

score 612 · Answer 11 · 2026-03-25 12:28:15

612

Views

Prove if $k^\text{th}$ derivative of an entire function $f$ is polynomial, then $f$ itself is polynomial. Where's my mistake?

Published on 25 Mar 2026 - 12:28

score 370 · Answer 12 · 2026-03-25 05:05:28

370

Views

approximating probability density in a shell for a high dimensional gaussian distribution: Bishops pattern recognition

Published on 25 Mar 2026 - 5:05

score 2.8k · Answer 13 · 2018-08-29 03:08:09

2.8k

Views

Maclaurin Series Expansion nth term expression

Published on 29 Aug 2018 - 3:08

score 1.1k · Answer 14 · 2018-08-29 11:09:04

1.1k

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Compute the value of $ \sqrt{e} $ with accuracy of 0.001 by using the Taylor Series of $ e^x $

Published on 29 Aug 2018 - 11:09

score 188 · Answer 15 · 2018-08-29 14:59:54

188

Views

Evaluate $\lim_\limits{x \to 0}\left[\left(\frac{1}{\sin^{-1}(x)}\right)^2-\frac{1}{x^2}\right],$

Published on 29 Aug 2018 - 14:59

List Question

Tools for finding bounds on power series

Evaluation $(n+1)th$ derivative of $\ln(1-x^2)$

Notation of the Taylor Polynomial with Lagrange Remainder

Taylor series with initial value of infinity

Intuition of error in Taylor appoximation and finding error in approximation of a function by a constant function

Interesting limit: $I(n)=\lim_{x \to 0} (e^x-1)^{-n} - \left(\frac{x}{1!}+\frac {x^2}{2!}+\dotsb+\frac{x^n}{n!}\right)^{-n}$

Can you turn a Taylor series into a product and is there any application for it?

Taylor/McLaurin series of $f(x)=(\sqrt{1-2x+x^3}-\sqrt[3]{1-3x+x^2})\cos\pi x$

The Taylor expansion of a metric: a natural viewpoint?

If $p(x) = x^4-4x^3+6x^2-4x+1$ is the Taylor polynomial of $f$ around $x=1$, then $1$ is a local minimum

Prove if $k^\text{th}$ derivative of an entire function $f$ is polynomial, then $f$ itself is polynomial. Where's my mistake?

approximating probability density in a shell for a high dimensional gaussian distribution: Bishops pattern recognition

Maclaurin Series Expansion nth term expression

Compute the value of $ \sqrt{e} $ with accuracy of 0.001 by using the Taylor Series of $ e^x $

Evaluate $\lim_\limits{x \to 0}\left[\left(\frac{1}{\sin^{-1}(x)}\right)^2-\frac{1}{x^2}\right],$

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