Question

Representing 5/(1+9x^2) as a power series and its coeffecients?

score 114 · Answer 1 · 2026-04-15 00:17:01

114

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Representing 5/(1+9x^2) as a power series and its coeffecients?

Published on 15 Apr 2026 - 0:17

score 99 · Answer 2 · 2026-04-13 11:10:36

99

Views

Series expansion of $(1+x)^{\frac {1}{x}}$

Published on 13 Apr 2026 - 11:10

score 482 · Answer 3 · 2026-03-25 20:53:32

482

Views

Trick for calculating the 5th order derivative of $(2x^3+1)e^{x^2}$ evaluated at $0$

Published on 25 Mar 2026 - 20:53

score 45 · Answer 4 · 2026-04-16 18:09:49

45

Views

Graph of the Maclaurin Series of $\ln (1+x)$ vs the graph of the real function $\ln (1+x)$

Published on 16 Apr 2026 - 18:09

score 59 · Answer 5 · 2026-04-11 06:30:43

59

Views

Approximation with Taylor expansion

Published on 11 Apr 2026 - 6:30

score 40 · Answer 6 · 2026-04-15 19:51:08

40

Views

Taylor Series expansion of $\frac{(1+x)}{(x-1)^2}$

Published on 15 Apr 2026 - 19:51

score 43 · Answer 7 · 2026-04-16 06:06:13

43

Views

Taylor Series expansion of $\tanh^{-1} x = \int_0^x \frac{1}{1-t^2} dt$

Published on 16 Apr 2026 - 6:06

score 54 · Answer 8 · 2026-04-13 20:33:15

54

Views

How do I expand $\frac{\left(x^{2}-2x-3\right)}{\sqrt{x-1}}$ when $x\to \infty$?

Published on 13 Apr 2026 - 20:33

score 47 · Answer 9 · 2026-04-22 04:28:54

47

Views

How to use the assumption of holder class?

Published on 22 Apr 2026 - 4:28

score 106 · Answer 10 · 2026-04-15 03:52:59

106

Views

I am getting $\sum_{n=1}^{\infty}\frac{n^{2}}{2^{n}}=\frac{1}{16}$ but it is wrong according to wolfram alpha. Where is the error in my solution?

Published on 15 Apr 2026 - 3:52

score 19 · Answer 11 · 2026-04-12 18:01:39

19

Views

geneal term of Taylor series of the squared root of a polynomial

Published on 12 Apr 2026 - 18:01

score 17 · Answer 12 · 2026-04-13 21:44:17

17

Views

Function that measures accuracy interval of a MacLaurin series?

Published on 13 Apr 2026 - 21:44

score 69 · Answer 13 · 2026-04-16 01:04:10

69

Views

Maclaurin series for $ f(f(z)) = \exp(z) - \exp(-z) + \exp(-z/2) - \exp(-z/5)+ \exp(-z/6) - \exp(-z/9)$

Published on 16 Apr 2026 - 1:04

score 65 · Answer 14 · 2026-04-12 10:48:38

65

Views

Is there a simple proof that a Taylor polynomial of a polynomial equals itself?

Published on 12 Apr 2026 - 10:48

score 44 · Answer 15 · 2026-04-11 18:29:29

44

Views

Struggling with Taylor polynomials – determining smallest degree for sufficient approximation

Published on 11 Apr 2026 - 18:29

List Question

Representing 5/(1+9x^2) as a power series and its coeffecients?

Series expansion of $(1+x)^{\frac {1}{x}}$

Trick for calculating the 5th order derivative of $(2x^3+1)e^{x^2}$ evaluated at $0$

Graph of the Maclaurin Series of $\ln (1+x)$ vs the graph of the real function $\ln (1+x)$

Approximation with Taylor expansion

Taylor Series expansion of $\frac{(1+x)}{(x-1)^2}$

Taylor Series expansion of $\tanh^{-1} x = \int_0^x \frac{1}{1-t^2} dt$

How do I expand $\frac{\left(x^{2}-2x-3\right)}{\sqrt{x-1}}$ when $x\to \infty$?

How to use the assumption of holder class?

I am getting $\sum_{n=1}^{\infty}\frac{n^{2}}{2^{n}}=\frac{1}{16}$ but it is wrong according to wolfram alpha. Where is the error in my solution?

geneal term of Taylor series of the squared root of a polynomial

Function that measures accuracy interval of a MacLaurin series?

Maclaurin series for $ f(f(z)) = \exp(z) - \exp(-z) + \exp(-z/2) - \exp(-z/5)+ \exp(-z/6) - \exp(-z/9)$

Is there a simple proof that a Taylor polynomial of a polynomial equals itself?

Struggling with Taylor polynomials – determining smallest degree for sufficient approximation

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