Question

Numerical integration of sharply peaking function: $\int_0^{1000} \exp(1000\sin(x)/x)\,{\rm d}x $

score 352 · Answer 1 · 2026-03-20 09:22:44

352

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Numerical integration of sharply peaking function: $\int_0^{1000} \exp(1000\sin(x)/x)\,{\rm d}x $

Published on 20 Mar 2026 - 9:22

score 28 · Answer 2 · 2018-05-03 04:33:13

28

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On Taylor approximation in several variables

Published on 03 May 2018 - 4:33

score 234 · Answer 3 · 2026-03-27 03:45:51

234

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Outer and Inner expansions of odes

Published on 27 Mar 2026 - 3:45

score 174 · Answer 4 · 2026-03-27 11:19:05

174

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Taylor series of $\log(1+ix)$ and $e^{ix}$

Published on 27 Mar 2026 - 11:19

score 32 · Answer 5 · 2018-05-03 14:47:25

32

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Question on proving function is $C^\infty(\left]0,\infty\right[)$

Published on 03 May 2018 - 14:47

score 51 · Answer 6 · 2018-05-05 01:03:38

51

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Exact function of a Taylor Polynomial

Published on 05 May 2018 - 1:03

score 289 · Answer 7 · 2026-03-26 06:28:31

289

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Is every series that matters a Taylor series?

Published on 26 Mar 2026 - 6:28

score 54 · Answer 8 · 2026-03-26 21:27:45

54

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proof that$ \sum_{n=0}^{\infty} \frac{2^n}{n!} = \sum_{n=0}^{\infty} \frac{ e (2-1)^n}{n!} $

Published on 26 Mar 2026 - 21:27

score 261 · Answer 9 · 2018-05-06 09:17:10

261

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estimation of the rest of Taylor expansion for holomorphic function

Published on 06 May 2018 - 9:17

score 7.3k · Answer 10 · 2026-03-26 23:09:41

7.3k

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Maclaurin's series for $\cos{\sqrt{x}}$

Published on 26 Mar 2026 - 23:09

score 145 · Answer 11 · 2026-03-25 11:08:35

145

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Show that a function is bounded using Taylor expansion

Published on 25 Mar 2026 - 11:08

score 650 · Answer 12 · 2018-05-06 21:08:27

650

Views

Finding the Maclaurin series of a given function knowing another Maclaurin series

Published on 06 May 2018 - 21:08

score 144 · Answer 13 · 2018-05-07 01:17:46

144

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Proof of $(1+x)^\alpha$ converges to its Taylor expansion at $x_0=0$ when $-1<\alpha<0$ and $x=1$

Published on 07 May 2018 - 1:17

score 57 · Answer 14 · 2026-03-26 21:27:23

57

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Complete series expansion of $\frac{1}{1+f(x)}$

Published on 26 Mar 2026 - 21:27

score 314 · Answer 15 · 2018-05-07 14:33:44

314

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Compute $\int_{|z|=1}\overline z^2$ $\sin z$ $\mathrm dz$

Published on 07 May 2018 - 14:33

List Question

Numerical integration of sharply peaking function: $\int_0^{1000} \exp(1000\sin(x)/x)\,{\rm d}x $

On Taylor approximation in several variables

Outer and Inner expansions of odes

Taylor series of $\log(1+ix)$ and $e^{ix}$

Question on proving function is $C^\infty(\left]0,\infty\right[)$

Exact function of a Taylor Polynomial

Is every series that matters a Taylor series?

proof that$ \sum_{n=0}^{\infty} \frac{2^n}{n!} = \sum_{n=0}^{\infty} \frac{ e (2-1)^n}{n!} $

estimation of the rest of Taylor expansion for holomorphic function

Maclaurin's series for $\cos{\sqrt{x}}$

Show that a function is bounded using Taylor expansion

Finding the Maclaurin series of a given function knowing another Maclaurin series

Proof of $(1+x)^\alpha$ converges to its Taylor expansion at $x_0=0$ when $-1<\alpha<0$ and $x=1$

Complete series expansion of $\frac{1}{1+f(x)}$

Compute $\int_{|z|=1}\overline z^2$ $\sin z$ $\mathrm dz$

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