Question

If we find a Taylor Series for a function and then evaluate were it converges must it represent a power series?

score 38 · Answer 1 · 2018-02-23 04:00:35

38

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If we find a Taylor Series for a function and then evaluate were it converges must it represent a power series?

Published on 23 Feb 2018 - 4:00

score 196 · Answer 2 · 2018-02-23 09:51:02

196

Views

Radius of converge of $\sum_{n = 0}^{\infty}\frac{n}{n^{2}\sqrt{n} + 1}x^{n}$

Published on 23 Feb 2018 - 9:51

score 116 · Answer 3 · 2026-03-17 05:15:15

116

Views

Polynomial and power series inequality

Published on 17 Mar 2026 - 5:15

score 1.1k · Answer 4 · 2018-02-24 06:11:46

1.1k

Views

Uniform convergence of complex series

Published on 24 Feb 2018 - 6:11

score 264 · Answer 5 · 2018-02-24 08:35:26

264

Views

Nth power of a matrix

Published on 24 Feb 2018 - 8:35

score 45 · Answer 6 · 2018-02-24 16:56:48

45

Views

How can I prove that $\sum_{i=0}^{\infty} \frac{z^{i+1}}{(i+1)!} = e^z - 1?$

Published on 24 Feb 2018 - 16:56

score 79 · Answer 7 · 2026-03-25 06:10:13

79

Views

Trying to understand basic properties of the $p$-adic logarithms

Published on 25 Mar 2026 - 6:10

score 34 · Answer 8 · 2018-02-24 23:47:13

34

Views

Explanation on differentiating power series

Published on 24 Feb 2018 - 23:47

score 3.6k · Answer 9 · 2018-02-25 01:17:01

3.6k

Views

What is the radius of convergence of the hypergeometric series?

Published on 25 Feb 2018 - 1:17

score 168 · Answer 10 · 2026-03-25 04:57:20

168

Views

Find interval containing $\tan 0.7$ using Taylor expansion and Lagrange

Published on 25 Mar 2026 - 4:57

score 720 · Answer 11 · 2018-02-26 16:19:26

720

Views

Restriction of complex analytic functions to real numbers

Published on 26 Feb 2018 - 16:19

score 1.1k · Answer 12 · 2026-03-25 04:58:48

1.1k

Views

Using power series, find an indefinite integral of $f(x)=\cos(x^2)$.

Published on 25 Mar 2026 - 4:58

score 300 · Answer 13 · 2018-02-26 20:06:25

300

Views

Regarding the series representation of $\sin x \cdot\ln(1+x)$

Published on 26 Feb 2018 - 20:06

score 151 · Answer 14 · 2018-02-26 21:10:57

151

Views

Using Maclaurin polynomials to approximate definite integrals?

Published on 26 Feb 2018 - 21:10

score 165 · Answer 15 · 2018-02-26 21:53:42

165

Views

Complex power series property with real numbers

Published on 26 Feb 2018 - 21:53

List Question

If we find a Taylor Series for a function and then evaluate were it converges must it represent a power series?

Radius of converge of $\sum_{n = 0}^{\infty}\frac{n}{n^{2}\sqrt{n} + 1}x^{n}$

Polynomial and power series inequality

Uniform convergence of complex series

Nth power of a matrix

How can I prove that $\sum_{i=0}^{\infty} \frac{z^{i+1}}{(i+1)!} = e^z - 1?$

Trying to understand basic properties of the $p$-adic logarithms

Explanation on differentiating power series

What is the radius of convergence of the hypergeometric series?

Find interval containing $\tan 0.7$ using Taylor expansion and Lagrange

Restriction of complex analytic functions to real numbers

Using power series, find an indefinite integral of $f(x)=\cos(x^2)$.

Regarding the series representation of $\sin x \cdot\ln(1+x)$

Using Maclaurin polynomials to approximate definite integrals?

Complex power series property with real numbers

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