Question

Taylor expansion of rational function

score 443 · Answer 1 · 2026-04-11 11:18:04

443

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Taylor expansion of rational function

Published on 11 Apr 2026 - 11:18

score 56 · Answer 2 · 2026-04-15 16:41:03

56

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Conceptually, what is $\langle x^k \rangle \big( \frac{1}{1-x} \big)^n$ with respect to $\binom{n+k-1}{k}$?

Published on 15 Apr 2026 - 16:41

score 129 · Answer 3 · 2026-04-11 13:53:21

129

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Using Taylor Expansion to show when a function's derivative is not equal to zero

Published on 11 Apr 2026 - 13:53

score 3.9k · Answer 4 · 2026-04-16 00:52:25

3.9k

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What will be the Taylor series of $\cos^3(x)$, what will be the radius of the convergence?

Published on 16 Apr 2026 - 0:52

score 48 · Answer 5 · 2026-04-17 15:03:37

48

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What will be the Taylor series and the radius of the convergence of $\frac{1+x}{1-x}$

Published on 17 Apr 2026 - 15:03

score 125 · Answer 6 · 2026-04-13 01:45:44

125

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How to compute the error of the Taylor series?

Published on 13 Apr 2026 - 1:45

score 331 · Answer 7 · 2026-04-16 23:26:53

331

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$f: \mathbb{R^2} \to \mathbb{R}$ a $C^\infty$ function such that $f(x,0)=f(0,y)=0$ then exists $g$ such that $f(x,y)=xy\, g(x,y)$

Published on 16 Apr 2026 - 23:26

score 125 · Answer 8 · 2026-04-14 10:13:42

125

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What will be the value of $\displaystyle\int_{0}^{1} \frac{1-\cos(x)}{x} dx$ for the first three decimal digit?

Published on 14 Apr 2026 - 10:13

score 232 · Answer 9 · 2026-04-14 07:40:00

232

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Taylor's Remainder Theorem Explanation Question

Published on 14 Apr 2026 - 7:40

score 4.2k · Answer 10 · 2026-04-15 06:34:31

4.2k

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Compute the first three terms of the Taylor series about $x = 0$ of $\sqrt{1+x}$

Published on 15 Apr 2026 - 6:34

score 167 · Answer 11 · 2026-04-13 00:22:16

167

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Basic Jets and Germs calculations (Catastophe Theory)

Published on 13 Apr 2026 - 0:22

score 1k · Answer 12 · 2026-04-14 11:51:46

1k

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taylor series for $f(z)=z\cos(2z)$ around $z_0= \pi$

Published on 14 Apr 2026 - 11:51

score 51 · Answer 13 · 2026-04-22 00:44:00

51

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How can I get a closed form for $\sum_{k=1}^C \dfrac 1 k e^{-k} $?

Published on 22 Apr 2026 - 0:44

score 90 · Answer 14 · 2026-04-13 19:02:47

90

Views

Taylor Series within an Interval

Published on 13 Apr 2026 - 19:02

score 64 · Answer 15 · 2026-04-16 05:33:36

64

Views

Associated radius of convergence for a Taylor series

Published on 16 Apr 2026 - 5:33

List Question

Taylor expansion of rational function

Conceptually, what is $\langle x^k \rangle \big( \frac{1}{1-x} \big)^n$ with respect to $\binom{n+k-1}{k}$?

Using Taylor Expansion to show when a function's derivative is not equal to zero

What will be the Taylor series of $\cos^3(x)$, what will be the radius of the convergence?

What will be the Taylor series and the radius of the convergence of $\frac{1+x}{1-x}$

How to compute the error of the Taylor series?

$f: \mathbb{R^2} \to \mathbb{R}$ a $C^\infty$ function such that $f(x,0)=f(0,y)=0$ then exists $g$ such that $f(x,y)=xy\, g(x,y)$

What will be the value of $\displaystyle\int_{0}^{1} \frac{1-\cos(x)}{x} dx$ for the first three decimal digit?

Taylor's Remainder Theorem Explanation Question

Compute the first three terms of the Taylor series about $x = 0$ of $\sqrt{1+x}$

Basic Jets and Germs calculations (Catastophe Theory)

taylor series for $f(z)=z\cos(2z)$ around $z_0= \pi$

How can I get a closed form for $\sum_{k=1}^C \dfrac 1 k e^{-k} $?

Taylor Series within an Interval

Associated radius of convergence for a Taylor series

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