Question

Local Taylor Expansion at each point

score 305 · Answer 1 · 2026-04-16 22:30:54

305

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Local Taylor Expansion at each point

Published on 16 Apr 2026 - 22:30

score 44 · Answer 2 · 2026-04-17 11:43:31

44

Views

$log_{10} 11$ with an accuracy of at least $0.0001$

Published on 17 Apr 2026 - 11:43

score 1.3k · Answer 3 · 2026-04-13 12:11:26

1.3k

Views

Finding an infinitely differentiable function on $\mathbb{R}$ with a taylor series that only converges to $f(x)$ for $x\leq 0$

Published on 13 Apr 2026 - 12:11

score 47 · Answer 4 · 2026-04-13 01:16:35

47

Views

Finding functions with the given properties

Published on 13 Apr 2026 - 1:16

score 426 · Answer 5 · 2026-04-15 05:55:22

426

Views

Evaluating $\sum_{n \geq 0} \frac{x^{8n}}{(8n)!}$

Published on 15 Apr 2026 - 5:55

score 340 · Answer 6 · 2026-04-11 20:01:59

340

Views

Univariate Taylor expansion of a multivariate function?

Published on 11 Apr 2026 - 20:01

score 110 · Answer 7 · 2026-04-16 14:56:47

110

Views

Derived quantity from truncated Taylor series

Published on 16 Apr 2026 - 14:56

score 113 · Answer 8 · 2026-04-17 06:35:38

113

Views

Taylor Series and the radius of convergence

Published on 17 Apr 2026 - 6:35

score 99 · Answer 9 · 2026-04-10 11:59:14

99

Views

Having trouble understanding power series

Published on 10 Apr 2026 - 11:59

score 73 · Answer 10 · 2026-04-13 16:39:50

73

Views

How to write $(x-1)^3 $ as a Taylor series centred at $x=0$?

Published on 13 Apr 2026 - 16:39

score 2.1k · Answer 11 · 2026-04-17 12:25:43

2.1k

Views

Settle a classroom argument - do there exist any functions that satisfy this property involving Taylor polynomials?

Published on 17 Apr 2026 - 12:25

score 133 · Answer 12 · 2026-04-17 10:40:56

133

Views

Using Taylor series to show that $\frac{h}{2} \cdot \frac{e^h+1}{e^h-1} \approx 1 + \frac{h^2}{12} + \cdots$

Published on 17 Apr 2026 - 10:40

score 162 · Answer 13 · 2026-04-14 02:40:17

162

Views

For what values of $x$ does the following series converge?

Published on 14 Apr 2026 - 2:40

score 54 · Answer 14 · 2026-04-14 22:31:43

54

Views

Show that the taylor series of $\cos{\frac{\pi}{2}}$ equals $\cos{\frac{\pi}{2}}$

Published on 14 Apr 2026 - 22:31

score 97 · Answer 15 · 2026-04-19 12:27:24

97

Views

Proving that $e^x = 1+O(x)$ as $x \to 0$.

Published on 19 Apr 2026 - 12:27

List Question

Local Taylor Expansion at each point

$log_{10} 11$ with an accuracy of at least $0.0001$

Finding an infinitely differentiable function on $\mathbb{R}$ with a taylor series that only converges to $f(x)$ for $x\leq 0$

Finding functions with the given properties

Evaluating $\sum_{n \geq 0} \frac{x^{8n}}{(8n)!}$

Univariate Taylor expansion of a multivariate function?

Derived quantity from truncated Taylor series

Taylor Series and the radius of convergence

Having trouble understanding power series

How to write $(x-1)^3 $ as a Taylor series centred at $x=0$?

Settle a classroom argument - do there exist any functions that satisfy this property involving Taylor polynomials?

Using Taylor series to show that $\frac{h}{2} \cdot \frac{e^h+1}{e^h-1} \approx 1 + \frac{h^2}{12} + \cdots$

For what values of $x$ does the following series converge?

Show that the taylor series of $\cos{\frac{\pi}{2}}$ equals $\cos{\frac{\pi}{2}}$

Proving that $e^x = 1+O(x)$ as $x \to 0$.

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