Question

Why is a Maclaurin series the function itself for a polynomial $f(x)$?

score 830 · Answer 1 · 2019-08-22 14:37:52

830

Views

Why is a Maclaurin series the function itself for a polynomial $f(x)$?

Published on 22 Aug 2019 - 14:37

score 26 · Answer 2 · 2026-03-28 02:42:46

26

Views

Integral convergence using Taylor expansion

Published on 28 Mar 2026 - 2:42

score 981 · Answer 3 · 2026-03-27 09:37:48

981

Views

Taylor's theorem for multi variable function, purpose of $t?$

Published on 27 Mar 2026 - 9:37

score 683 · Answer 4 · 2026-03-26 02:58:30

683

Views

How do I arrive at this Taylor series expansion for the given function?

Published on 26 Mar 2026 - 2:58

score 61 · Answer 5 · 2026-03-27 07:12:09

61

Views

How do you solve an inequality that involves factorials?

Published on 27 Mar 2026 - 7:12

score 35 · Answer 6 · 2019-08-23 11:53:49

35

Views

Taylor series approximations: why do we take the sum from $n = 0$ to infinity if $p(x)$ is of order $n$?

Published on 23 Aug 2019 - 11:53

score 216 · Answer 7 · 2019-08-24 13:09:42

216

Views

Taylor-Remainder divided by $(x-x_0)^n$ goes to zero as $x$ approaches $x_0$.

Published on 24 Aug 2019 - 13:09

score 112 · Answer 8 · 2026-03-27 08:46:38

112

Views

Laurent series of $\left(1+\frac{1}{x}\right)^x$ about $x=\infty$/MacLaurin series of $\left(1+x\right)^\frac{1}{x}$

Published on 27 Mar 2026 - 8:46

score 144 · Answer 9 · 2026-03-27 07:39:30

144

Views

Solving Basel Problem using euler infinite product and infinite product-sum equality

Published on 27 Mar 2026 - 7:39

score 34 · Answer 10 · 2026-03-26 11:00:22

34

Views

Sequence of real values as derivatives of a function.

Published on 26 Mar 2026 - 11:00

score 979 · Answer 11 · 2019-08-26 09:55:04

979

Views

Understand a proof of general derivative test with Taylor-Formula.

Published on 26 Aug 2019 - 9:55

score 165 · Answer 12 · 2026-03-25 14:22:27

165

Views

If a real function has a zero of order $n$, then except for a diffeomorphism, it is $x^n$.

Published on 25 Mar 2026 - 14:22

score 266 · Answer 13 · 2026-03-31 12:44:32

266

Views

Expression for Taylor expansion on Riemannian manifolds.

Published on 31 Mar 2026 - 12:44

score 387 · Answer 14 · 2019-08-27 21:43:12

387

Views

computing the Taylor series for $e^{1-\cos x}$

Published on 27 Aug 2019 - 21:43

score 223 · Answer 15 · 2026-03-25 23:38:00

223

Views

Using the Geometric Series to find where a series converges

Published on 25 Mar 2026 - 23:38

List Question

Why is a Maclaurin series the function itself for a polynomial $f(x)$?

Integral convergence using Taylor expansion

Taylor's theorem for multi variable function, purpose of $t?$

How do I arrive at this Taylor series expansion for the given function?

How do you solve an inequality that involves factorials?

Taylor series approximations: why do we take the sum from $n = 0$ to infinity if $p(x)$ is of order $n$?

Taylor-Remainder divided by $(x-x_0)^n$ goes to zero as $x$ approaches $x_0$.

Laurent series of $\left(1+\frac{1}{x}\right)^x$ about $x=\infty$/MacLaurin series of $\left(1+x\right)^\frac{1}{x}$

Solving Basel Problem using euler infinite product and infinite product-sum equality

Sequence of real values as derivatives of a function.

Understand a proof of general derivative test with Taylor-Formula.

If a real function has a zero of order $n$, then except for a diffeomorphism, it is $x^n$.

Expression for Taylor expansion on Riemannian manifolds.

computing the Taylor series for $e^{1-\cos x}$

Using the Geometric Series to find where a series converges

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