Question

How do I perform taylor expansion of the following?

score 60 · Answer 1 · 2014-11-09 03:25:17

60

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How do I perform taylor expansion of the following?

Published on 09 Nov 2014 - 3:25

score 107 · Answer 2 · 2026-04-05 15:24:32

107

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Evaluate Infinite Sums

Published on 05 Apr 2026 - 15:24

score 275 · Answer 3 · 2026-03-27 23:20:07

275

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Manipulation of Taylor/Laurent series

Published on 27 Mar 2026 - 23:20

score 1.5k · Answer 4 · 2026-04-05 19:28:11

1.5k

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Taylor series of an implicit function

Published on 05 Apr 2026 - 19:28

score 143 · Answer 5 · 2014-11-10 18:10:46

143

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calculating the taylor term of an integral

Published on 10 Nov 2014 - 18:10

score 491 · Answer 6 · 2014-11-11 03:48:33

491

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Find a polynomial which approximates $f(x) = \sqrt{x}$ in the interval $(4,5)$ within $10^{-8}$

Published on 11 Nov 2014 - 3:48

score 56 · Answer 7 · 2014-11-11 05:39:07

56

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$f:[0,1] \to \mathbb{R}$ with $f(0) = 0 = f(1)$ and $|f''|\leq M$. Show $|f'(1/2)| \leq \frac{M}{4}$.

Published on 11 Nov 2014 - 5:39

score 231 · Answer 8 · 2026-04-03 22:30:50

231

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Finding the $n$th Taylor coefficient of $g(z)=\frac{z}{(z-b)^2}$ centered at $a$ (where $a=2-\sqrt{3}$ and $b=2+\sqrt{3}$?

Published on 03 Apr 2026 - 22:30

score 1.2k · Answer 9 · 2026-03-28 18:13:30

1.2k

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uniformly continuous when second derivative is bounded

Published on 28 Mar 2026 - 18:13

score 576 · Answer 10 · 2014-11-13 08:38:42

576

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Proving that $(\sup_{x\in R}|f'(x)|)^2\leq 4\sup_{x\in R}|f(x)|\cdot\sup_{x\in R}|f''(x)|$.

Published on 13 Nov 2014 - 8:38

score 32 · Answer 11 · 2014-11-13 15:23:14

32

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Equivalence of two expressions

Published on 13 Nov 2014 - 15:23

score 397 · Answer 12 · 2014-11-14 01:34:44

397

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Using Taylor series to create a zero function

Published on 14 Nov 2014 - 1:34

score 3.7k · Answer 13 · 2026-03-26 14:21:08

3.7k

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Bound remainder of Taylor series with Lipschitz property of derivative

Published on 26 Mar 2026 - 14:21

score 151 · Answer 14 · 2014-11-14 20:14:24

151

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Taylor's Theorem for Multivariable Implict Functions

Published on 14 Nov 2014 - 20:14

score 1.7k · Answer 15 · 2014-11-15 17:55:50

1.7k

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Remainder in the multivariate Taylor expansion

Published on 15 Nov 2014 - 17:55

List Question

How do I perform taylor expansion of the following?

Evaluate Infinite Sums

Manipulation of Taylor/Laurent series

Taylor series of an implicit function

calculating the taylor term of an integral

Find a polynomial which approximates $f(x) = \sqrt{x}$ in the interval $(4,5)$ within $10^{-8}$

$f:[0,1] \to \mathbb{R}$ with $f(0) = 0 = f(1)$ and $|f''|\leq M$. Show $|f'(1/2)| \leq \frac{M}{4}$.

Finding the $n$th Taylor coefficient of $g(z)=\frac{z}{(z-b)^2}$ centered at $a$ (where $a=2-\sqrt{3}$ and $b=2+\sqrt{3}$?

uniformly continuous when second derivative is bounded

Proving that $(\sup_{x\in R}|f'(x)|)^2\leq 4\sup_{x\in R}|f(x)|\cdot\sup_{x\in R}|f''(x)|$.

Equivalence of two expressions

Using Taylor series to create a zero function

Bound remainder of Taylor series with Lipschitz property of derivative

Taylor's Theorem for Multivariable Implict Functions

Remainder in the multivariate Taylor expansion

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