Question

Prove directly from the definition that a given set S is not sequentially compact in the reals.

score 53 · Answer 1 · 2026-05-15 11:59:41

53

Views

Prove directly from the definition that a given set S is not sequentially compact in the reals.

Published on 15 May 2026 - 11:59

score 57 · Answer 2 · 2026-05-10 16:06:23

57

Views

Comparing the grow rate of two functions with discrete domain

Published on 10 May 2026 - 16:06

score 566 · Answer 3 · 2026-05-05 02:15:25

566

Views

Question about a double-index recursion sequence

Published on 05 May 2026 - 2:15

score 96 · Answer 4 · 2026-04-13 23:32:15

96

Views

Laurent Expansion of $\frac{1}{f(z)^2}$, for $f$ a holomorphic function on a nbd of $a \in C$ with $f(a) = 0$ $f'(a) \ne 0$ and $f''(a) = 0$.

Published on 13 Apr 2026 - 23:32

score 103 · Answer 5 · 2026-04-13 17:18:27

103

Views

Bartle Theorem 3.2.3 (b) Trouble applying a variation of triangular inequality (Sequence section)

Published on 13 Apr 2026 - 17:18

score 96 · Answer 6 · 2026-05-11 04:42:07

96

Views

Evaluating $\sum\limits_{n \ge 0} \frac{1}{x^{2^n}-y^{2^n}}$ where $x, y \in \mathbb R^{+}$ and $x \ne y, x>1.$

Published on 11 May 2026 - 4:42

score 733 · Answer 7 · 2026-04-16 18:34:12

733

Views

A and B play until one scores 2 points in a row.

Published on 16 Apr 2026 - 18:34

score 899 · Answer 8 · 2026-04-13 00:12:45

899

Views

Sum of a infinite number of continuous functions on a set may not be continuous.

Published on 13 Apr 2026 - 0:12

score 94 · Answer 9 · 2026-05-10 15:51:22

94

Views

Does the sum $\sum_{k=1}^{\infty}B_{(4k-2)}+B_{(4k)}$ converges?

Published on 10 May 2026 - 15:51

score 195 · Answer 10 · 2026-05-11 02:19:46

195

Views

Series of binomial coefficient denominators

Published on 11 May 2026 - 2:19

score 65 · Answer 11 · 2026-05-15 09:45:34

65

Views

Finding sum of a geometric series

Published on 15 May 2026 - 9:45

score 396 · Answer 12 · 2026-04-13 16:52:00

396

Views

Arithmetic sequence with polynomial

Published on 13 Apr 2026 - 16:52

score 61 · Answer 13 · 2026-04-12 11:16:21

61

Views

How can i make the following change to this infinite series?

Published on 12 Apr 2026 - 11:16

score 223 · Answer 14 · 2026-04-16 04:45:01

223

Views

Coefficient of $x^{27}$ in $(1-x^{10})^6/(1-x)^6$.

Published on 16 Apr 2026 - 4:45

score 34 · Answer 15 · 2026-04-15 20:46:02

34

Views

Why we should call this : $a,b,c,d,\cdots$ sequence better than calling it series with $a,b,c,d,\cdots$ are integers?

Published on 15 Apr 2026 - 20:46

List Question

Prove directly from the definition that a given set S is not sequentially compact in the reals.

Comparing the grow rate of two functions with discrete domain

Question about a double-index recursion sequence

Laurent Expansion of $\frac{1}{f(z)^2}$, for $f$ a holomorphic function on a nbd of $a \in C$ with $f(a) = 0$ $f'(a) \ne 0$ and $f''(a) = 0$.

Bartle Theorem 3.2.3 (b) Trouble applying a variation of triangular inequality (Sequence section)

Evaluating $\sum\limits_{n \ge 0} \frac{1}{x^{2^n}-y^{2^n}}$ where $x, y \in \mathbb R^{+}$ and $x \ne y, x>1.$

A and B play until one scores 2 points in a row.

Sum of a infinite number of continuous functions on a set may not be continuous.

Does the sum $\sum_{k=1}^{\infty}B_{(4k-2)}+B_{(4k)}$ converges?

Series of binomial coefficient denominators

Finding sum of a geometric series

Arithmetic sequence with polynomial

How can i make the following change to this infinite series?

Coefficient of $x^{27}$ in $(1-x^{10})^6/(1-x)^6$.

Why we should call this : $a,b,c,d,\cdots$ sequence better than calling it series with $a,b,c,d,\cdots$ are integers?

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