Question

Find a power series expansion for the function gf′ on (-1,1)

score 380 · Answer 1 · 2026-03-25 22:03:13

380

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Find a power series expansion for the function gf′ on (-1,1)

Published on 25 Mar 2026 - 22:03

score 422 · Answer 2 · 2026-03-25 22:03:42

422

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How to write the summation for Taylor series where first term has no $x$ value

Published on 25 Mar 2026 - 22:03

score 50 · Answer 3 · 2026-03-25 23:39:18

50

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How to write an infinite sum for $f(x)=\frac{-(x+1)}{(x-1)^3}$

Published on 25 Mar 2026 - 23:39

score 70 · Answer 4 · 2018-03-25 21:30:19

70

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Particular property of a function that admits a Taylor expansion and $f(2/3)=3/2$

Published on 25 Mar 2018 - 21:30

score 79 · Answer 5 · 2026-03-26 01:28:56

79

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Find sum of Series, Binomial Theorem

Published on 26 Mar 2026 - 1:28

score 69 · Answer 6 · 2018-03-26 19:23:05

69

Views

Help needed in proof of Taylor's Theorem

Published on 26 Mar 2018 - 19:23

score 93 · Answer 7 · 2026-03-25 23:39:15

93

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Taylor series of $f(x)=\sqrt{1+x^4}$

Published on 25 Mar 2026 - 23:39

score 62 · Answer 8 · 2026-03-24 20:30:46

62

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Classifying degenerate point using Taylor polynomial.

Published on 24 Mar 2026 - 20:30

score 56 · Answer 9 · 2018-03-28 00:32:50

56

Views

Find the Taylor polynomial of order $3$ at the point $a$ for function $f$ given below and estimate/bound the error

Published on 28 Mar 2018 - 0:32

score 2.5k · Answer 10 · 2026-03-23 07:46:59

2.5k

Views

"Taylor Series" analog for functionals?

Published on 23 Mar 2026 - 7:46

score 1.1k · Answer 11 · 2026-03-26 01:28:27

1.1k

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Analytic function at a point is analytic in a neighborhood

Published on 26 Mar 2026 - 1:28

score 205 · Answer 12 · 2026-03-25 04:44:15

205

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Suppose $f$ is in $C([0,1])$ and $f(0)=f(1)=0$. Show that $f$ is the uniform limit of a sequence of polynomials with $p_n(0) =p_n(1) = 0$ for all $n$.

Published on 25 Mar 2026 - 4:44

score 3.9k · Answer 13 · 2018-03-29 05:03:43

3.9k

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Is the Taylor series of $f(x)= \sin x + \cos x$ just the sum of each individual Taylor series?

Published on 29 Mar 2018 - 5:03

score 236 · Answer 14 · 2026-03-25 14:15:01

236

Views

Combinatorial proof of this question?

Published on 25 Mar 2026 - 14:15

score 56 · Answer 15 · 2018-03-29 17:49:39

56

Views

Functions $f$ whose series differs depending on the order of expansion

Published on 29 Mar 2018 - 17:49

List Question

Find a power series expansion for the function gf′ on (-1,1)

How to write the summation for Taylor series where first term has no $x$ value

How to write an infinite sum for $f(x)=\frac{-(x+1)}{(x-1)^3}$

Particular property of a function that admits a Taylor expansion and $f(2/3)=3/2$

Find sum of Series, Binomial Theorem

Help needed in proof of Taylor's Theorem

Taylor series of $f(x)=\sqrt{1+x^4}$

Classifying degenerate point using Taylor polynomial.

Find the Taylor polynomial of order $3$ at the point $a$ for function $f$ given below and estimate/bound the error

"Taylor Series" analog for functionals?

Analytic function at a point is analytic in a neighborhood

Suppose $f$ is in $C([0,1])$ and $f(0)=f(1)=0$. Show that $f$ is the uniform limit of a sequence of polynomials with $p_n(0) =p_n(1) = 0$ for all $n$.

Is the Taylor series of $f(x)= \sin x + \cos x$ just the sum of each individual Taylor series?

Combinatorial proof of this question?

Functions $f$ whose series differs depending on the order of expansion

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