Question

Laurent series for $ f(z) = \frac{1} {z} + \frac{1} {(1-z)} + \frac{1} {(2-z)} $ around arround $0< |z|<1, 0< |z-1|<1$ and $0< |z|<2$?

score 44 · Answer 1 · 2026-03-28 20:08:12

44

Views

Laurent series for $ f(z) = \frac{1} {z} + \frac{1} {(1-z)} + \frac{1} {(2-z)} $ around arround $0< |z|<1, 0< |z-1|<1$ and $0< |z|<2$?

Published on 28 Mar 2026 - 20:08

score 102 · Answer 2 · 2026-04-08 19:40:40

102

Views

Does it follow that for $ x\ge 785, (2x+3)^{\frac{1.25506}{\ln x}} < 4$

Published on 08 Apr 2026 - 19:40

score 679 · Answer 3 · 2026-04-13 16:29:36

679

Views

Determine the equivalence classes on the relation a - b is in H where H = {4k : k is in Z}

Published on 13 Apr 2026 - 16:29

score 83 · Answer 4 · 2026-04-13 16:53:56

83

Views

Prove. $\frac{x}{x^2-2} \rightarrow 1$ as $x \rightarrow 2$ from first principles.

Published on 13 Apr 2026 - 16:53

score 91 · Answer 5 · 2026-04-12 12:10:56

91

Views

Exercise involving pointwise and uniform convergence: why does it converge and why it does not converge?

Published on 12 Apr 2026 - 12:10

score 68 · Answer 6 · 2026-04-12 12:13:45

68

Views

Why does $h\circ f_{n}\to h\circ f$ when $h$ is continuous and $f_n\to f$ pointwise?

Published on 12 Apr 2026 - 12:13

score 87 · Answer 7 · 2026-04-01 10:30:52

87

Views

Does it follow for $x \ge 785$, that Gautschi's Inequality implies that $\frac{\Gamma(2x + 3 - \frac{1.25006}{\ln n})}{\Gamma(2x+1)} > x^2$

Published on 01 Apr 2026 - 10:30

score 172 · Answer 8 · 2026-04-13 15:28:21

172

Views

Definition of limit points, equivalence and its negation

Published on 13 Apr 2026 - 15:28

score 155 · Answer 9 · 2026-03-30 03:58:34

155

Views

Calculus - Michael Spivak, Continuous functions Problem 17-(c)

Published on 30 Mar 2026 - 3:58

score 63 · Answer 10 · 2026-04-09 13:27:14

63

Views

possible logic error in textbook

Published on 09 Apr 2026 - 13:27

score 1k · Answer 11 · 2026-04-11 18:20:14

1k

Views

Combinatorial explanation of ${n\choose r}={n-1\choose r-1}+{n-1\choose r}$

Published on 11 Apr 2026 - 18:20

score 51 · Answer 12 · 2026-04-13 14:04:40

51

Views

$a$ is a norm in $K(\sqrt{a})/K$ if and only if it is the sum of two squares

Published on 13 Apr 2026 - 14:04

score 125 · Answer 13 · 2026-04-12 09:59:04

125

Views

Prove that, for every natural number, their factorization as primes is unique

Published on 12 Apr 2026 - 9:59

score 138 · Answer 14 · 2026-03-25 14:25:37

138

Views

For what percentage of numbers does this proof of Goldbach's conjecture hold?

Published on 25 Mar 2026 - 14:25

score 89 · Answer 15 · 2020-05-19 12:56:03

89

Views

If $f$ is Riemann integrable and $f(x) \geq 0$ for all $x \in I$ then the integral is increasing

Published on 19 May 2020 - 12:56

List Question

Laurent series for $ f(z) = \frac{1} {z} + \frac{1} {(1-z)} + \frac{1} {(2-z)} $ around arround $0< |z|<1, 0< |z-1|<1$ and $0< |z|<2$?

Does it follow that for $ x\ge 785, (2x+3)^{\frac{1.25506}{\ln x}} < 4$

Determine the equivalence classes on the relation a - b is in H where H = {4k : k is in Z}

Prove. $\frac{x}{x^2-2} \rightarrow 1$ as $x \rightarrow 2$ from first principles.

Exercise involving pointwise and uniform convergence: why does it converge and why it does not converge?

Why does $h\circ f_{n}\to h\circ f$ when $h$ is continuous and $f_n\to f$ pointwise?

Does it follow for $x \ge 785$, that Gautschi's Inequality implies that $\frac{\Gamma(2x + 3 - \frac{1.25006}{\ln n})}{\Gamma(2x+1)} > x^2$

Definition of limit points, equivalence and its negation

Calculus - Michael Spivak, Continuous functions Problem 17-(c)

possible logic error in textbook

Combinatorial explanation of ${n\choose r}={n-1\choose r-1}+{n-1\choose r}$

$a$ is a norm in $K(\sqrt{a})/K$ if and only if it is the sum of two squares

Prove that, for every natural number, their factorization as primes is unique

For what percentage of numbers does this proof of Goldbach's conjecture hold?

If $f$ is Riemann integrable and $f(x) \geq 0$ for all $x \in I$ then the integral is increasing

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