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Complex Integral $\int_{C} \frac{e^{iz}}{z^3} dz$ using Cauchy Integral Formula of Derivatives

score 1.6k · Answer 1 · 2026-04-08 23:39:49

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Complex Integral $\int_{C} \frac{e^{iz}}{z^3} dz$ using Cauchy Integral Formula of Derivatives

Published on 08 Apr 2026 - 23:39

score 1.8k · Answer 2 · 2026-04-17 15:37:46

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If $p$ is a prime and $p|ab$, then $p|a$ or $p|b$.

Published on 17 Apr 2026 - 15:37

score 43 · Answer 3 · 2026-04-10 21:07:24

43

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Norm transitivity in inseperable extensions confusion.

Published on 10 Apr 2026 - 21:07

score 111 · Answer 4 · 2026-04-13 12:17:53

111

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Queris related to "An arbitrary product $X=\prod_{\alpha \in J} X_\alpha$ is connected iff $X_{\alpha }$ is connected for each $\alpha\in J$."

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score 722 · Answer 5 · 2026-04-14 11:24:29

722

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Help with completing the proof: Any unbounded sequence is either infinitely large or has a convergent subsequential limit

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score 333 · Answer 6 · 2026-04-11 12:44:34

333

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Integrable function translation

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score 45 · Answer 7 · 2026-04-15 21:48:31

45

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Solution verification for evaluating $\lim\limits_{x \to +\infty}\dfrac{\int_0^{x}|\sin t|{\rm d}t}{x}$

Published on 15 Apr 2026 - 21:48

score 279 · Answer 8 · 2026-04-16 03:05:05

279

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Losing solutions in $\cos{x}+\cos{2x}=0$

Published on 16 Apr 2026 - 3:05

score 133 · Answer 9 · 2026-04-16 15:13:56

133

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is there any base where 1+1=0? is this a legit proof?

Published on 16 Apr 2026 - 15:13

score 119 · Answer 10 · 2026-04-11 04:43:20

119

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Greatest value of $|z|$ given that $\left|z- \frac 4z \right| = 2$. Why does using triangle inequality in this way not work?

Published on 11 Apr 2026 - 4:43

score 2.7k · Answer 11 · 2026-04-17 13:48:25

2.7k

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Proving that a differentiable function f, with f' bounded, is uniformly continuous

Published on 17 Apr 2026 - 13:48

score 436 · Answer 12 · 2026-04-13 06:24:42

436

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Use the definition of limit to prove that $\lim_{z\to z_0} (az + b) = az_0 + b$, a,b belongs to complex numbers

Published on 13 Apr 2026 - 6:24

score 547 · Answer 13 · 2026-04-16 14:47:25

547

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general solution of $\frac{dy}{dx}+P(x)y=0$

Published on 16 Apr 2026 - 14:47

score 239 · Answer 14 · 2026-04-28 15:02:51

239

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Determining solution to Differential Equation with given initial value

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score 1.6k · Answer 15 · 2026-04-11 20:29:23

1.6k

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Proving $\mathbb{N}$ is not compact

Published on 11 Apr 2026 - 20:29

List Question

Complex Integral $\int_{C} \frac{e^{iz}}{z^3} dz$ using Cauchy Integral Formula of Derivatives

If $p$ is a prime and $p|ab$, then $p|a$ or $p|b$.

Norm transitivity in inseperable extensions confusion.

Queris related to "An arbitrary product $X=\prod_{\alpha \in J} X_\alpha$ is connected iff $X_{\alpha }$ is connected for each $\alpha\in J$."

Help with completing the proof: Any unbounded sequence is either infinitely large or has a convergent subsequential limit

Integrable function translation

Solution verification for evaluating $\lim\limits_{x \to +\infty}\dfrac{\int_0^{x}|\sin t|{\rm d}t}{x}$

Losing solutions in $\cos{x}+\cos{2x}=0$

is there any base where 1+1=0? is this a legit proof?

Greatest value of $|z|$ given that $\left|z- \frac 4z \right| = 2$. Why does using triangle inequality in this way not work?

Proving that a differentiable function f, with f' bounded, is uniformly continuous

Use the definition of limit to prove that $\lim_{z\to z_0} (az + b) = az_0 + b$, a,b belongs to complex numbers

general solution of $\frac{dy}{dx}+P(x)y=0$

Determining solution to Differential Equation with given initial value

Proving $\mathbb{N}$ is not compact

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