Question

Showing a set is an ideal in a ring of real-valued functions

score 151 · Answer 1 · 2026-04-16 06:46:59

151

Views

Showing a set is an ideal in a ring of real-valued functions

Published on 16 Apr 2026 - 6:46

score 123 · Answer 2 · 2026-04-11 00:08:46

123

Views

Proof-Verification : A proof for $\ln(n!) \sim n\ln n(n \to \infty)$

Published on 11 Apr 2026 - 0:08

score 132 · Answer 3 · 2026-05-11 05:17:56

132

Views

Exercise about sub-$\sigma$-algebra of $\mathcal{B}(\mathbb{R})$

Published on 11 May 2026 - 5:17

score 178 · Answer 4 · 2026-04-16 16:16:30

178

Views

Evaluate $\lim\limits_{x \to 0}\frac{e^{(1+x)^{\frac{1}{x}}}-(1+x)^{\frac{e}{x}}}{x^2}$

Published on 16 Apr 2026 - 16:16

score 57 · Answer 5 · 2026-04-16 08:23:31

57

Views

If each subset of a set $X$ is compact then $X$ is finite

Published on 16 Apr 2026 - 8:23

score 35 · Answer 6 · 2026-04-15 17:20:57

35

Views

Is this a valid proof for uniform continuity of $\frac{x^2}{x+1}$?

Published on 15 Apr 2026 - 17:20

score 75 · Answer 7 · 2026-04-15 00:10:03

75

Views

Question regarding elementary Quotient Algebra Theorem proof

Published on 15 Apr 2026 - 0:10

score 23 · Answer 8 · 2026-05-06 07:55:55

23

Views

Finding an example for a group operation on a set

Published on 06 May 2026 - 7:55

score 306 · Answer 9 · 2026-05-16 08:14:56

306

Views

Is supremum / infimum concept an axiom. ( Equivalence between infimum's definitions )

Published on 16 May 2026 - 8:14

score 267 · Answer 10 · 2026-04-15 05:15:25

Proof expression $ ((\neg C \vee B) \wedge ( A \rightarrow C) \wedge (B \rightarrow D) )\rightarrow \neg A \vee D $ by rules of interference

score 71 · Answer 11 · 2026-04-14 22:33:08

71

Views

Show the series $\sum_{n=0}^{\infty}\frac{n^2+x^4}{n^4+x^2}$ pointwise converges.

Published on 14 Apr 2026 - 22:33

score 41 · Answer 12 · 2026-04-09 14:30:30

41

Views

Relationship between Rieamann sum and Lesbesgue sum

Published on 09 Apr 2026 - 14:30

score 115 · Answer 13 · 2026-04-17 09:46:46

115

Views

prove or disprove: For a prime number p, there is a positive integer n such that $p+1 $= $n^2$ if and only if $ p = 3.$

Published on 17 Apr 2026 - 9:46

score 37 · Answer 14 · 2026-04-16 10:42:27

37

Views

proof or disprove :If p is a prime number of 5 or more, there is no integer n satisfying $p + 1 = n^2$

Published on 16 Apr 2026 - 10:42

score 1.5k · Answer 15 · 2026-04-15 06:24:32

1.5k

Views

proof that $A − B ⊆ C$ if and only if $A ⊆ B ∪ C$

Published on 15 Apr 2026 - 6:24

List Question

Showing a set is an ideal in a ring of real-valued functions

Proof-Verification : A proof for $\ln(n!) \sim n\ln n(n \to \infty)$

Exercise about sub-$\sigma$-algebra of $\mathcal{B}(\mathbb{R})$

Evaluate $\lim\limits_{x \to 0}\frac{e^{(1+x)^{\frac{1}{x}}}-(1+x)^{\frac{e}{x}}}{x^2}$

If each subset of a set $X$ is compact then $X$ is finite

Is this a valid proof for uniform continuity of $\frac{x^2}{x+1}$?

Question regarding elementary Quotient Algebra Theorem proof

Finding an example for a group operation on a set

Is supremum / infimum concept an axiom. ( Equivalence between infimum's definitions )

Proof expression $ ((\neg C \vee B) \wedge ( A \rightarrow C) \wedge (B \rightarrow D) )\rightarrow \neg A \vee D $ by rules of interference

Show the series $\sum_{n=0}^{\infty}\frac{n^2+x^4}{n^4+x^2}$ pointwise converges.

Relationship between Rieamann sum and Lesbesgue sum

prove or disprove: For a prime number p, there is a positive integer n such that $p+1 $= $n^2$ if and only if $ p = 3.$

proof or disprove :If p is a prime number of 5 or more, there is no integer n satisfying $p + 1 = n^2$

proof that $A − B ⊆ C$ if and only if $A ⊆ B ∪ C$

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