Question

Taylor series expansion of $x^x$

score 611 · Answer 1 · 2019-07-22 23:52:17

611

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Taylor series expansion of $x^x$

Published on 22 Jul 2019 - 23:52

score 104 · Answer 2 · 2026-03-25 19:06:46

104

Views

Show that there are no entire functions such that $\bigcup_{n = 0}^{\infty} \{ z \in \mathbb{C} : f^{(n)}(z) = 0 \} = \mathbb{R}$.

Published on 25 Mar 2026 - 19:06

score 78 · Answer 3 · 2019-07-24 12:41:52

78

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Why Using Maclaurin series is giving me a different answer?

Published on 24 Jul 2019 - 12:41

score 1k · Answer 4 · 2026-03-24 23:42:40

1k

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How to use linearization at the point where the given function is not defined

Published on 24 Mar 2026 - 23:42

score 64 · Answer 5 · 2026-03-27 00:59:54

64

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Is really this :$\int_{0}^{t}\operatorname{erf}(x+\sqrt{1-\log (x)} )dx \sim t$ true for every $t$?

Published on 27 Mar 2026 - 0:59

score 108 · Answer 6 · 2019-07-25 14:24:04

108

Views

What is $1+Ax+Ax^2+Ax^3+Ax^4+Ax^5$.... an expansion of ??

Published on 25 Jul 2019 - 14:24

score 76 · Answer 7 · 2019-07-25 19:33:47

76

Views

How to get the result of only first N terms of a geometric series like $1+Ax+Ax^2+Ax^3+Ax^4+Ax^5$....

Published on 25 Jul 2019 - 19:33

score 177 · Answer 8 · 2019-07-27 06:52:05

177

Views

show that $|\sin(1)-0.841|\leq10^{-3}$

Published on 27 Jul 2019 - 6:52

score 2.3k · Answer 9 · 2026-03-27 05:39:17

2.3k

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How to decide if a DE has a singular point at infinity, and if so, what to do about it.

Published on 27 Mar 2026 - 5:39

score 48 · Answer 10 · 2019-07-27 22:40:22

48

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Finding a third-degree approximation of $x^3y'' + x^2y' - (e^x-1)y=0$

Published on 27 Jul 2019 - 22:40

score 168 · Answer 11 · 2019-07-28 17:20:44

168

Views

Find $f(x) = x + \frac{2}{3}x^3 + \frac{2\cdot4}{3\cdot5}x^5 + \frac{2\cdot4\cdot6}{3\cdot5\cdot7}x^7+\cdots$ where $|x|<1$

Published on 28 Jul 2019 - 17:20

score 328 · Answer 12 · 2019-07-29 21:18:17

328

Views

Applying a Taylor series "with respect to $a/r$" and "around $0$"

Published on 29 Jul 2019 - 21:18

score 31 · Answer 13 · 2019-07-30 18:53:36

31

Views

Taylor expansion of $\mathbf{u}$ along solutions of $\mathbf{u}' = \mathbf{f}$

Published on 30 Jul 2019 - 18:53

score 664 · Answer 14 · 2026-03-25 14:34:34

664

Views

Taylor expansion of Frobenius Norm

Published on 25 Mar 2026 - 14:34

score 529 · Answer 15 · 2026-03-25 11:13:23

529

Views

Second order Taylor expansion of Frobenius norm

Published on 25 Mar 2026 - 11:13

List Question

Taylor series expansion of $x^x$

Show that there are no entire functions such that $\bigcup_{n = 0}^{\infty} \{ z \in \mathbb{C} : f^{(n)}(z) = 0 \} = \mathbb{R}$.

Why Using Maclaurin series is giving me a different answer?

How to use linearization at the point where the given function is not defined

Is really this :$\int_{0}^{t}\operatorname{erf}(x+\sqrt{1-\log (x)} )dx \sim t$ true for every $t$?

What is $1+Ax+Ax^2+Ax^3+Ax^4+Ax^5$.... an expansion of ??

How to get the result of only first N terms of a geometric series like $1+Ax+Ax^2+Ax^3+Ax^4+Ax^5$....

show that $|\sin(1)-0.841|\leq10^{-3}$

How to decide if a DE has a singular point at infinity, and if so, what to do about it.

Finding a third-degree approximation of $x^3y'' + x^2y' - (e^x-1)y=0$

Find $f(x) = x + \frac{2}{3}x^3 + \frac{2\cdot4}{3\cdot5}x^5 + \frac{2\cdot4\cdot6}{3\cdot5\cdot7}x^7+\cdots$ where $|x|<1$

Applying a Taylor series "with respect to $a/r$" and "around $0$"

Taylor expansion of $\mathbf{u}$ along solutions of $\mathbf{u}' = \mathbf{f}$

Taylor expansion of Frobenius Norm

Second order Taylor expansion of Frobenius norm

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