Question

Calculate (i.e. express without using infinite sum): $\frac{1}{1!\cdot1}+\frac{2}{2!\cdot2}+\frac{4}{4!\cdot4}+\frac{8}{6!\cdot8}+..$

score 106 · Answer 1 · 2016-09-19 10:20:59

106

Views

Calculate (i.e. express without using infinite sum): $\frac{1}{1!\cdot1}+\frac{2}{2!\cdot2}+\frac{4}{4!\cdot4}+\frac{8}{6!\cdot8}+..$

Published on 19 Sep 2016 - 10:20

score 75 · Answer 2 · 2016-09-20 01:19:14

75

Views

Why Taylor Expansion (1st order, multilvariable) is the best approximation of f(x) by polynomials?

Published on 20 Sep 2016 - 1:19

score 798 · Answer 3 · 2026-04-07 12:29:25

798

Views

How to graph Taylor polynomials by hand?

Published on 07 Apr 2026 - 12:29

score 75 · Answer 4 · 2026-04-12 19:59:04

75

Views

How to find $f(x)$ in order to find $f^{(10)}(3)$?

Published on 12 Apr 2026 - 19:59

score 1.2k · Answer 5 · 2016-09-20 21:11:55

1.2k

Views

Do the Taylor series of $\sin x$ and $\cos x$ depend on the identity $\sin^2 x + \cos^2 x =1$?

Published on 20 Sep 2016 - 21:11

score 218 · Answer 6 · 2026-04-10 04:01:11

218

Views

Taylor expansion of complicated integral expression

Published on 10 Apr 2026 - 4:01

score 38 · Answer 7 · 2026-04-09 16:31:28

38

Views

How do I solve this maclaurin series problem?

Published on 09 Apr 2026 - 16:31

score 549 · Answer 8 · 2026-04-12 19:55:47

549

Views

Derivative Operators and Taylor Expansions

Published on 12 Apr 2026 - 19:55

score 229 · Answer 9 · 2026-04-09 03:57:27

229

Views

Could someone provide me with an elegant visual proof of the Taylor Series expansion?

Published on 09 Apr 2026 - 3:57

score 27 · Answer 10 · 2026-04-12 19:09:49

27

Views

If a differentiable function is defined on a closed interval, can I expand it with Taylor formula about the extrema?

Published on 12 Apr 2026 - 19:09

score 79 · Answer 11 · 2016-09-22 16:04:21

79

Views

What does $o(x^4)$ mean in the following series expansion?

Published on 22 Sep 2016 - 16:04

score 1.5k · Answer 12 · 2026-04-12 02:51:32

1.5k

Views

Expand a ratio of polynomials into a single polynomial

Published on 12 Apr 2026 - 2:51

score 39 · Answer 13 · 2026-04-12 15:37:10

39

Views

Taking a limit of the expression twice

Published on 12 Apr 2026 - 15:37

score 249 · Answer 14 · 2016-09-23 03:11:18

249

Views

Taylor series of reduction version

Published on 23 Sep 2016 - 3:11

score 1.2k · Answer 15 · 2026-03-26 01:12:47

1.2k

Views

Proving the result for Legendre's polynomial $\frac{1-z^2}{(1-2xz+z^2)^3/2}=\sum_{n=0}^{\infty}(2n+1)P_n(x)z^n$.

Published on 26 Mar 2026 - 1:12

List Question

Calculate (i.e. express without using infinite sum): $\frac{1}{1!\cdot1}+\frac{2}{2!\cdot2}+\frac{4}{4!\cdot4}+\frac{8}{6!\cdot8}+..$

Why Taylor Expansion (1st order, multilvariable) is the best approximation of f(x) by polynomials?

How to graph Taylor polynomials by hand?

How to find $f(x)$ in order to find $f^{(10)}(3)$?

Do the Taylor series of $\sin x$ and $\cos x$ depend on the identity $\sin^2 x + \cos^2 x =1$?

Taylor expansion of complicated integral expression

How do I solve this maclaurin series problem?

Derivative Operators and Taylor Expansions

Could someone provide me with an elegant visual proof of the Taylor Series expansion?

If a differentiable function is defined on a closed interval, can I expand it with Taylor formula about the extrema?

What does $o(x^4)$ mean in the following series expansion?

Expand a ratio of polynomials into a single polynomial

Taking a limit of the expression twice

Taylor series of reduction version

Proving the result for Legendre's polynomial $\frac{1-z^2}{(1-2xz+z^2)^3/2}=\sum_{n=0}^{\infty}(2n+1)P_n(x)z^n$.

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