Question

Show that $F$ is smooth if and only if $f^{n}(0)=0$ for all $n \ne 3k$

score 347 · Answer 1 · 2026-04-16 15:33:08

347

Views

Show that $F$ is smooth if and only if $f^{n}(0)=0$ for all $n \ne 3k$

Published on 16 Apr 2026 - 15:33

score 970 · Answer 2 · 2026-04-13 22:48:43

970

Views

Why does using the identity $e^x=1/e^{-x}$ work better in evaluating negative numbers in the finite taylor series expansion of $e^(x)$

Published on 13 Apr 2026 - 22:48

score 2.8k · Answer 3 · 2026-04-13 18:44:38

2.8k

Views

Working backwards from a Taylor Expansion

Published on 13 Apr 2026 - 18:44

score 586 · Answer 4 · 2026-04-13 23:20:25

586

Views

Find the Remainder term in the Maclaurian series of $\tan^{-1}(x)$ for $-1\le x \le 1$

Published on 13 Apr 2026 - 23:20

score 48.5k · Answer 5 · 2026-04-11 07:05:36

48.5k

Views

What is the difference between the Taylor and Maclaurin series?

Published on 11 Apr 2026 - 7:05

score 379 · Answer 6 · 2026-04-10 23:34:33

379

Views

How can I find the stability of the Fitzhugh-Nagumo model?

Published on 10 Apr 2026 - 23:34

score 1.8k · Answer 7 · 2026-04-16 01:14:26

1.8k

Views

Taylor Expansion at x=0 of 1/(1-x^4)

Published on 16 Apr 2026 - 1:14

score 219 · Answer 8 · 2026-04-16 17:33:07

219

Views

Taylor expansion of $\sin(\cos x^2)$ in x=0

Published on 16 Apr 2026 - 17:33

score 131 · Answer 9 · 2026-04-16 15:40:19

131

Views

How to evaluate $\lim_{n\rightarrow \infty} \sqrt{n}(\frac{e^{rt/n+\sigma\sqrt{t/n}}-1}{e^{2\sigma\sqrt{t/n}}-1}-\frac{1}{2})$?

Published on 16 Apr 2026 - 15:40

score 166 · Answer 10 · 2026-04-13 22:08:32

166

Views

Sum of the combinatorial series

Published on 13 Apr 2026 - 22:08

score 23.8k · Answer 11 · 2026-04-13 23:35:34

23.8k

Views

What kind of functions cannot be described by the Taylor series? Why is this?

Published on 13 Apr 2026 - 23:35

score 95 · Answer 12 · 2026-04-16 21:57:26

95

Views

Convergence of Taylor series in a ball

Published on 16 Apr 2026 - 21:57

score 137 · Answer 13 · 2026-04-09 19:38:17

137

Views

Remainder of Taylor expansion

Published on 09 Apr 2026 - 19:38

score 93 · Answer 14 · 2026-04-14 18:48:32

93

Views

Why $\tan x$ is not infinity at all the points > $\frac{\pi}{2}$

Published on 14 Apr 2026 - 18:48

score 168 · Answer 15 · 2026-04-15 02:30:57

168

Views

Proof that $\log$ is real analytic on the positive reals

Published on 15 Apr 2026 - 2:30

List Question

Show that $F$ is smooth if and only if $f^{n}(0)=0$ for all $n \ne 3k$

Why does using the identity $e^x=1/e^{-x}$ work better in evaluating negative numbers in the finite taylor series expansion of $e^(x)$

Working backwards from a Taylor Expansion

Find the Remainder term in the Maclaurian series of $\tan^{-1}(x)$ for $-1\le x \le 1$

What is the difference between the Taylor and Maclaurin series?

How can I find the stability of the Fitzhugh-Nagumo model?

Taylor Expansion at x=0 of 1/(1-x^4)

Taylor expansion of $\sin(\cos x^2)$ in x=0

How to evaluate $\lim_{n\rightarrow \infty} \sqrt{n}(\frac{e^{rt/n+\sigma\sqrt{t/n}}-1}{e^{2\sigma\sqrt{t/n}}-1}-\frac{1}{2})$?

Sum of the combinatorial series

What kind of functions cannot be described by the Taylor series? Why is this?

Convergence of Taylor series in a ball

Remainder of Taylor expansion

Why $\tan x$ is not infinity at all the points > $\frac{\pi}{2}$

Proof that $\log$ is real analytic on the positive reals

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