Question

Proof that composition of two unbounded functions is not a bounded function.

score 449 · Answer 1 · 2026-04-12 17:42:50

449

Views

Proof that composition of two unbounded functions is not a bounded function.

Published on 12 Apr 2026 - 17:42

score 58 · Answer 2 · 2026-04-14 14:16:00

58

Views

How to prove that for any natural number $n$, $10|(3^{2+4n}+1)$ using induction?

Published on 14 Apr 2026 - 14:16

score 312 · Answer 3 · 2026-04-15 11:42:50

312

Views

Prove that $\sqrt[3]{5} + \sqrt{2}$ is irrational

Published on 15 Apr 2026 - 11:42

score 951 · Answer 4 · 2026-04-25 09:00:51

951

Views

Relationship between convex functions and coercivity

Published on 25 Apr 2026 - 9:00

score 61 · Answer 5 · 2026-04-13 02:52:14

61

Views

Write logic statements

Published on 13 Apr 2026 - 2:52

score 57 · Answer 6 · 2026-04-16 10:17:08

57

Views

Separation properties for the k-topology $\{(a,b): a<b; a,b \in \mathbb{R}\}$

Published on 16 Apr 2026 - 10:17

score 41 · Answer 7 · 2026-04-17 22:34:48

41

Views

Show that limit of the zero set is in the zero set

Published on 17 Apr 2026 - 22:34

score 95 · Answer 8 · 2026-04-14 06:28:20

95

Views

Proof for $\lim_{x\to -\infty} \frac{1}{x} = 0$

Published on 14 Apr 2026 - 6:28

score 20 · Answer 9 · 2026-04-16 23:09:41

20

Views

$N = a^{b}$ is $L$ bits long, for some integers $a \geq 1, b \geq 2$. Show that $b \leq L$.

Published on 16 Apr 2026 - 23:09

score 44 · Answer 10 · 2026-04-14 02:52:20

44

Views

Why does the theorem have inclusion if we already have equality

Published on 14 Apr 2026 - 2:52

score 108 · Answer 11 · 2026-04-12 08:07:19

108

Views

Help proving the geometric-arithmetic mean inequality using minimization

Published on 12 Apr 2026 - 8:07

score 1k · Answer 12 · 2026-04-17 15:58:53

1k

Views

Prove if $f(a)=g(a)$ and $f′ >g$′ on $(a,b)$, then $f>g$ on $(a, b)$. Where f, g are differentiable and $a<b$.

Published on 17 Apr 2026 - 15:58

score 55 · Answer 13 · 2026-04-08 16:14:22

55

Views

Constructing $f(x)$ continuous at $x=a$

Published on 08 Apr 2026 - 16:14

score 50 · Answer 14 · 2026-04-14 22:07:49

50

Views

Proving $(x-a)\chi_\mathbb{Q}(x-a)$ continuous nowhere but $x=a$.

Published on 14 Apr 2026 - 22:07

score 144 · Answer 15 · 2026-04-16 11:16:17

144

Views

Proving $X\ncong (0,1)$ and $X\ncong[0,1]$

Published on 16 Apr 2026 - 11:16

List Question

Proof that composition of two unbounded functions is not a bounded function.

How to prove that for any natural number $n$, $10|(3^{2+4n}+1)$ using induction?

Prove that $\sqrt[3]{5} + \sqrt{2}$ is irrational

Relationship between convex functions and coercivity

Write logic statements

Separation properties for the k-topology $\{(a,b): a<b; a,b \in \mathbb{R}\}$

Show that limit of the zero set is in the zero set

Proof for $\lim_{x\to -\infty} \frac{1}{x} = 0$

$N = a^{b}$ is $L$ bits long, for some integers $a \geq 1, b \geq 2$. Show that $b \leq L$.

Why does the theorem have inclusion if we already have equality

Help proving the geometric-arithmetic mean inequality using minimization

Prove if $f(a)=g(a)$ and $f′ >g$′ on $(a,b)$, then $f>g$ on $(a, b)$. Where f, g are differentiable and $a<b$.

Constructing $f(x)$ continuous at $x=a$

Proving $(x-a)\chi_\mathbb{Q}(x-a)$ continuous nowhere but $x=a$.

Proving $X\ncong (0,1)$ and $X\ncong[0,1]$

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