Question

Find all $z$ such that $(z+1)^7 = z^7$. You do not have to put your answer in the simplest rectangular or exponential form.

score 1.4k · Answer 1 · 2026-04-17 07:52:57

1.4k

Views

Find all $z$ such that $(z+1)^7 = z^7$. You do not have to put your answer in the simplest rectangular or exponential form.

Published on 17 Apr 2026 - 7:52

score 80 · Answer 2 · 2026-04-14 12:35:42

80

Views

How can I show that an entire function where the sum of real and imaginary part are less or equal to the absolute of the function is constant?

Published on 14 Apr 2026 - 12:35

score 685 · Answer 3 · 2026-04-15 17:17:04

685

Views

Finding derivative of $f(z) =\sqrt r[\cos\theta/2 +i \sin\theta/2]$, where $r>0$ and $0<\theta<2π$.

Published on 15 Apr 2026 - 17:17

score 178 · Answer 4 · 2026-05-15 09:42:33

178

Views

Show that $\sum_{k=1}^\infty \frac{i}{k(k+1)}$ converges. Find its sum.

Published on 15 May 2026 - 9:42

score 1.1k · Answer 5 · 2026-04-11 16:02:24

1.1k

Views

How find the maximum of the complex number inequality

Published on 11 Apr 2026 - 16:02

score 296 · Answer 6 · 2026-04-14 13:21:11

296

Views

Does the inverse of a matrix with complex conjugate rows have complex conjugate columns?

Published on 14 Apr 2026 - 13:21

score 50 · Answer 7 · 2026-04-15 12:47:32

50

Views

Does $f(x+yi):= \frac{xy}{x^2+y^2}$ have a continuous function in 0?

Published on 15 Apr 2026 - 12:47

score 142 · Answer 8 · 2026-04-16 05:10:28

142

Views

Show that the sequence $\left\{\frac{1}{1+nz}\right\}$ is uniformly convergent to zero for all $z$ such that $|z|\geq 2$.

Published on 16 Apr 2026 - 5:10

score 1.1k · Answer 9 · 2026-04-14 22:30:57

1.1k

Views

Show that the power series $\sum_{n=0}^\infty \frac{z^n}{n!}$ converges uniformly for all $z$.

Published on 14 Apr 2026 - 22:30

score 60 · Answer 10 · 2026-04-15 05:13:17

60

Views

Can someone explain to me to find the disk of convergence of the Taylor Series $\frac{3}{1+z}$.

Published on 15 Apr 2026 - 5:13

score 1.2k · Answer 11 · 2026-04-14 04:43:32

1.2k

Views

Find the Taylor series for $f(z)=e^z$ about $z_0=1+i$.

Published on 14 Apr 2026 - 4:43

score 61 · Answer 12 · 2026-03-30 07:43:28

61

Views

Proof of non diagonalizibility of higher matrix power

Published on 30 Mar 2026 - 7:43

score 1.3k · Answer 13 · 2026-04-16 08:42:37

1.3k

Views

Finding real and imaginary part of √Z

Published on 16 Apr 2026 - 8:42

score 68 · Answer 14 · 2026-04-15 14:24:38

68

Views

$\lim_{z->0}(z)/(|z|)$

Published on 15 Apr 2026 - 14:24

score 74 · Answer 15 · 2026-04-16 02:15:29

74

Views

show that this function is discontinuous at a particular point $z_1= -1$ $f(z)= \lim_{z \to -1} \arg(z)$

Published on 16 Apr 2026 - 2:15

List Question

Find all $z$ such that $(z+1)^7 = z^7$. You do not have to put your answer in the simplest rectangular or exponential form.

How can I show that an entire function where the sum of real and imaginary part are less or equal to the absolute of the function is constant?

Finding derivative of $f(z) =\sqrt r[\cos\theta/2 +i \sin\theta/2]$, where $r>0$ and $0<\theta<2π$.

Show that $\sum_{k=1}^\infty \frac{i}{k(k+1)}$ converges. Find its sum.

How find the maximum of the complex number inequality

Does the inverse of a matrix with complex conjugate rows have complex conjugate columns?

Does $f(x+yi):= \frac{xy}{x^2+y^2}$ have a continuous function in 0?

Show that the sequence $\left\{\frac{1}{1+nz}\right\}$ is uniformly convergent to zero for all $z$ such that $|z|\geq 2$.

Show that the power series $\sum_{n=0}^\infty \frac{z^n}{n!}$ converges uniformly for all $z$.

Can someone explain to me to find the disk of convergence of the Taylor Series $\frac{3}{1+z}$.

Find the Taylor series for $f(z)=e^z$ about $z_0=1+i$.

Proof of non diagonalizibility of higher matrix power

Finding real and imaginary part of √Z

$\lim_{z->0}(z)/(|z|)$

show that this function is discontinuous at a particular point $z_1= -1$ $f(z)= \lim_{z \to -1} \arg(z)$

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