Question

Can a function differ from its Taylor series but converge like its Taylor series?

score 31 · Answer 1 · 2019-12-12 19:07:16

31

Views

Can a function differ from its Taylor series but converge like its Taylor series?

Published on 12 Dec 2019 - 19:07

score 329 · Answer 2 · 2019-12-13 13:54:50

329

Views

Find an integral splitting it into the power series

Published on 13 Dec 2019 - 13:54

score 61 · Answer 3 · 2019-12-13 15:14:28

61

Views

Question about an elementary proof of Lagrange's form of the remainder

Published on 13 Dec 2019 - 15:14

score 218 · Answer 4 · 2026-03-26 00:53:49

218

Views

For an entire function $f(z)$, is it true that $f(z)=f(\bar{z})$ for all complex $z$?

Published on 26 Mar 2026 - 0:53

score 64 · Answer 5 · 2026-03-26 03:02:32

64

Views

Represent $f(x)$ with $g(x)$ when the taylor expension has specific dependency

Published on 26 Mar 2026 - 3:02

score 34 · Answer 6 · 2026-03-31 06:05:55

34

Views

approximating a function near $0$ using Taylor series

Published on 31 Mar 2026 - 6:05

score 104 · Answer 7 · 2019-12-15 15:01:56

104

Views

Prove the formula of the remainder of Taylor has a character $\sum_{|\beta|=k+1} R_\beta(\boldsymbol{x})(\boldsymbol{x})^\beta$

Published on 15 Dec 2019 - 15:01

score 1.2k · Answer 8 · 2019-12-16 09:59:24

1.2k

Views

Bound on remainder for vector valued Taylor series

Published on 16 Dec 2019 - 9:59

score 96 · Answer 9 · 2019-12-17 09:17:13

96

Views

Taylor expansion of $\sum_{k=0}^\infty \cos^k(x)$

Published on 17 Dec 2019 - 9:17

score 94 · Answer 10 · 2019-12-17 19:11:44

94

Views

Taylor expansion of a square root

Published on 17 Dec 2019 - 19:11

score 59 · Answer 11 · 2019-12-18 07:15:40

59

Views

Taylor series of $x \cdot \ln(10+x) $ with $x=9$ point of expansion

Published on 18 Dec 2019 - 7:15

score 185 · Answer 12 · 2019-12-18 08:40:29

185

Views

Using the first fundamental theorem of calculus to derive Taylor expansion/series

Published on 18 Dec 2019 - 8:40

score 311 · Answer 13 · 2026-03-31 08:11:17

311

Views

Gaussian approximation to a product of gaussian function times an hyperbolic cosine

Published on 31 Mar 2026 - 8:11

score 56 · Answer 14 · 2019-12-18 22:28:42

56

Views

Taylor expansion about candidate point $x^*$: $f(x^∗ + h) = f(x^∗) + hf'(x^∗) + O(h^2)$?

Published on 18 Dec 2019 - 22:28

score 54 · Answer 15 · 2026-04-01 19:20:48

54

Views

$f(x^* + h) \ge f(x^) \Rightarrow \frac{h^2}{2} f''(x^) \ge 0$

Published on 01 Apr 2026 - 19:20

List Question

Can a function differ from its Taylor series but converge like its Taylor series?

Find an integral splitting it into the power series

Question about an elementary proof of Lagrange's form of the remainder

For an entire function $f(z)$, is it true that $f(z)=f(\bar{z})$ for all complex $z$?

Represent $f(x)$ with $g(x)$ when the taylor expension has specific dependency

approximating a function near $0$ using Taylor series

Prove the formula of the remainder of Taylor has a character $\sum_{|\beta|=k+1} R_\beta(\boldsymbol{x})(\boldsymbol{x})^\beta$

Bound on remainder for vector valued Taylor series

Taylor expansion of $\sum_{k=0}^\infty \cos^k(x)$

Taylor expansion of a square root

Taylor series of $x \cdot \ln(10+x) $ with $x=9$ point of expansion

Using the first fundamental theorem of calculus to derive Taylor expansion/series

Gaussian approximation to a product of gaussian function times an hyperbolic cosine

Taylor expansion about candidate point $x^*$: $f(x^∗ + h) = f(x^∗) + hf'(x^∗) + O(h^2)$?

$f(x^* + h) \ge f(x^) \Rightarrow \frac{h^2}{2} f''(x^) \ge 0$

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