Question

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

score 41 · Answer 1 · 2026-04-16 14:26:55

41

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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 16 Apr 2026 - 14:26

score 199 · Answer 2 · 2026-04-17 04:37:00

199

Views

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

Published on 17 Apr 2026 - 4:37

score 122 · Answer 3 · 2026-05-10 13:48:41

122

Views

Polynomial and power series inequality

Published on 10 May 2026 - 13:48

score 1.1k · Answer 4 · 2026-04-14 10:56:43

1.1k

Views

Uniform convergence of complex series

Published on 14 Apr 2026 - 10:56

score 269 · Answer 5 · 2026-05-10 18:49:55

269

Views

Nth power of a matrix

Published on 10 May 2026 - 18:49

score 48 · Answer 6 · 2026-04-12 19:48:23

48

Views

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

Published on 12 Apr 2026 - 19:48

score 82 · Answer 7 · 2026-05-10 16:55:29

82

Views

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

Published on 10 May 2026 - 16:55

score 37 · Answer 8 · 2026-04-09 20:39:43

37

Views

Explanation on differentiating power series

Published on 09 Apr 2026 - 20:39

score 3.6k · Answer 9 · 2026-04-16 12:26:01

3.6k

Views

What is the radius of convergence of the hypergeometric series?

Published on 16 Apr 2026 - 12:26

score 171 · Answer 10 · 2026-05-10 18:59:18

171

Views

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

Published on 10 May 2026 - 18:59

score 723 · Answer 11 · 2026-04-11 11:59:56

723

Views

Restriction of complex analytic functions to real numbers

Published on 11 Apr 2026 - 11:59

score 1.1k · Answer 12 · 2026-04-15 12:47:31

1.1k

Views

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

Published on 15 Apr 2026 - 12:47

score 303 · Answer 13 · 2026-04-16 18:58:25

303

Views

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

Published on 16 Apr 2026 - 18:58

score 154 · Answer 14 · 2026-04-13 22:27:45

154

Views

Using Maclaurin polynomials to approximate definite integrals?

Published on 13 Apr 2026 - 22:27

score 168 · Answer 15 · 2026-04-13 00:41:25

168

Views

Complex power series property with real numbers

Published on 13 Apr 2026 - 0:41

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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