Question

Radius of convergence for the Taylor series of $\frac{10z}{z^2+z-6}$ about the point $z=i$?

score 125 · Answer 1 · 2026-03-25 20:12:42

125

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Radius of convergence for the Taylor series of $\frac{10z}{z^2+z-6}$ about the point $z=i$?

Published on 25 Mar 2026 - 20:12

score 117 · Answer 2 · 2026-03-25 06:12:21

117

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Am I combining Cauchy and Taylor theorems to prove this Taylor representation correctly?

Published on 25 Mar 2026 - 6:12

score 1.3k · Answer 3 · 2026-03-25 11:21:47

1.3k

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Prove the radius of convergence of the complex power series $(z^2 - 1)/(z^3-1)$ about $z =2$ is sqrt(7)

Published on 25 Mar 2026 - 11:21

score 2k · Answer 4 · 2018-04-16 19:53:34

2k

Views

Taylor Series for sin(3)

Published on 16 Apr 2018 - 19:53

score 1.3k · Answer 5 · 2018-04-16 22:15:09

1.3k

Views

How do I expand this exponential limit using Taylor expansion?

Published on 16 Apr 2018 - 22:15

score 143 · Answer 6 · 2018-04-16 23:57:59

143

Views

Expanding the domain of the Taylor Series for $\ln(x)$ to $(0,\infty)$

Published on 16 Apr 2018 - 23:57

score 972 · Answer 7 · 2026-03-26 07:35:38

972

Views

Asymptotic expansion of $I(x)=\int_0^{\infty} \frac{e^{-xt}}{1+t^2}dt$ as $x\rightarrow \infty $

Published on 26 Mar 2026 - 7:35

score 519 · Answer 8 · 2018-04-17 19:56:17

519

Views

Elementary proofs for Taylor expansion for natural logarithm

Published on 17 Apr 2018 - 19:56

score 1.3k · Answer 9 · 2026-03-25 23:37:59

1.3k

Views

Taylor’s derivative test for extrema and inflexion points

Published on 25 Mar 2026 - 23:37

score 125 · Answer 10 · 2018-04-18 03:12:56

125

Views

Interpretation of Taylor's theorem

Published on 18 Apr 2018 - 3:12

score 136 · Answer 11 · 2026-03-25 22:05:29

136

Views

Proving $\int_{0}^{2 \pi}\cos^{2n}(t)dt=2\pi\frac{1\cdot3\cdot5\cdots(2n-1)}{2\cdot4\cdot6\cdots(2n)}$

Published on 25 Mar 2026 - 22:05

score 2.6k · Answer 12 · 2018-04-18 15:16:01

2.6k

Views

A function not equal to its Taylor series.

Published on 18 Apr 2018 - 15:16

score 196 · Answer 13 · 2026-03-25 20:42:15

196

Views

Why does $\left( dW_t \right)^3 = 0$, where $W_t$ denotes a standard Brownian motion process?

Published on 25 Mar 2026 - 20:42

score 297 · Answer 14 · 2026-03-23 00:22:17

297

Views

Coherence between Hamiltonian and Lagrangian in form of an inequality (Evans PDE)

Published on 23 Mar 2026 - 0:22

score 846 · Answer 15 · 2026-03-25 09:48:54

846

Views

Using a Taylor polynomial of degree 2, find an approximation for $\sqrt[3]{e}$

Published on 25 Mar 2026 - 9:48

List Question

Radius of convergence for the Taylor series of $\frac{10z}{z^2+z-6}$ about the point $z=i$?

Am I combining Cauchy and Taylor theorems to prove this Taylor representation correctly?

Prove the radius of convergence of the complex power series $(z^2 - 1)/(z^3-1)$ about $z =2$ is sqrt(7)

Taylor Series for sin(3)

How do I expand this exponential limit using Taylor expansion?

Expanding the domain of the Taylor Series for $\ln(x)$ to $(0,\infty)$

Asymptotic expansion of $I(x)=\int_0^{\infty} \frac{e^{-xt}}{1+t^2}dt$ as $x\rightarrow \infty $

Elementary proofs for Taylor expansion for natural logarithm

Taylor’s derivative test for extrema and inflexion points

Interpretation of Taylor's theorem

Proving $\int_{0}^{2 \pi}\cos^{2n}(t)dt=2\pi\frac{1\cdot3\cdot5\cdots(2n-1)}{2\cdot4\cdot6\cdots(2n)}$

A function not equal to its Taylor series.

Why does $\left( dW_t \right)^3 = 0$, where $W_t$ denotes a standard Brownian motion process?

Coherence between Hamiltonian and Lagrangian in form of an inequality (Evans PDE)

Using a Taylor polynomial of degree 2, find an approximation for $\sqrt[3]{e}$

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