Question

Sign of $n$ th derivative of $f(x)$?

score 99 · Answer 1 · 2026-04-16 10:30:50

99

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Sign of $n$ th derivative of $f(x)$?

Published on 16 Apr 2026 - 10:30

score 43 · Answer 2 · 2026-04-15 09:31:10

43

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Taylor expansion for random variables

Published on 15 Apr 2026 - 9:31

score 34 · Answer 3 · 2026-04-22 04:28:56

34

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Proving that the bias of the derivative of Parzen-Rosenblatt (kernel density) estimator is of order $O(h^2) $ and $O(h)$ when $h$ approaches $0$

Published on 22 Apr 2026 - 4:28

score 57 · Answer 4 · 2026-04-12 03:50:26

57

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Taylor series estimation for the first four non-zero terms

Published on 12 Apr 2026 - 3:50

score 51 · Answer 5 · 2026-04-15 20:39:29

51

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Convergence radius of sum of two Maclaurin series

Published on 15 Apr 2026 - 20:39

score 101 · Answer 6 · 2026-04-15 09:04:32

101

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Multivariable Taylor series of $f(x,y) = \sin(2x)\sin(y)$

Published on 15 Apr 2026 - 9:04

score 41 · Answer 7 · 2026-03-26 02:57:48

41

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Question on conjectured method of extending convergence of Maclaurin series for $\frac{x}{x+1}$ from $|x|<1$ to $\Re(x)>-1$

Published on 26 Mar 2026 - 2:57

score 150 · Answer 8 · 2026-04-15 16:54:43

150

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Series expansion of $\left(\frac{\sin x}{x}\right)^a$ at $x=0$

Published on 15 Apr 2026 - 16:54

score 71 · Answer 9 · 2026-04-13 18:22:08

71

Views

Is there a "closed form" for the taylor series of $\sqrt{1+f[x]}$?

Published on 13 Apr 2026 - 18:22

score 45 · Answer 10 · 2026-04-09 13:58:10

45

Views

What value of x will give the largest error in an exponentiall function using Lagranges remainder?

Published on 09 Apr 2026 - 13:58

score 52 · Answer 11 · 2026-04-14 18:35:25

What is the right way to evaluate $\lim_{\lambda\to\infty} \left(-t\sqrt\lambda + \lambda e^{t/\sqrt\lambda} - \lambda \right)$?

score 75 · Answer 12 · 2026-04-12 21:08:35

75

Views

Taylor expansion of Fourier series coefficient

Published on 12 Apr 2026 - 21:08

score 27 · Answer 13 · 2026-03-25 10:57:17

27

Views

When using Taylor polynomials to approximate an expression, does approximating two different parts of the original expression lead to correct results?

Published on 25 Mar 2026 - 10:57

score 61 · Answer 14 · 2026-04-15 13:30:18

61

Views

Pointwise or uniform convergence of $\sum_{n = 0}^{\infty} \frac{(ix)^n}{n!}$

Published on 15 Apr 2026 - 13:30

score 37 · Answer 15 · 2026-04-16 13:08:08

37

Views

If |x|< 1/2 then the polynomial $1 + \frac{x}{2}-\frac{x^2}{8}$ aproximates the value of $\sqrt{1+x}$ with an error minor of $\frac{1}{2}|x^3|$

Published on 16 Apr 2026 - 13:08

List Question

Sign of $n$ th derivative of $f(x)$?

Taylor expansion for random variables

Proving that the bias of the derivative of Parzen-Rosenblatt (kernel density) estimator is of order $O(h^2) $ and $O(h)$ when $h$ approaches $0$

Taylor series estimation for the first four non-zero terms

Convergence radius of sum of two Maclaurin series

Multivariable Taylor series of $f(x,y) = \sin(2x)\sin(y)$

Question on conjectured method of extending convergence of Maclaurin series for $\frac{x}{x+1}$ from $|x|<1$ to $\Re(x)>-1$

Series expansion of $\left(\frac{\sin x}{x}\right)^a$ at $x=0$

Is there a "closed form" for the taylor series of $\sqrt{1+f[x]}$?

What value of x will give the largest error in an exponentiall function using Lagranges remainder?

What is the right way to evaluate $\lim_{\lambda\to\infty} \left(-t\sqrt\lambda + \lambda e^{t/\sqrt\lambda} - \lambda \right)$?

Taylor expansion of Fourier series coefficient

When using Taylor polynomials to approximate an expression, does approximating two different parts of the original expression lead to correct results?

Pointwise or uniform convergence of $\sum_{n = 0}^{\infty} \frac{(ix)^n}{n!}$

If |x|< 1/2 then the polynomial $1 + \frac{x}{2}-\frac{x^2}{8}$ aproximates the value of $\sqrt{1+x}$ with an error minor of $\frac{1}{2}|x^3|$

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