Question

Existence of a continuous function $\rho(x)$ such that $g(x) \rho(x)$ is bounded and continuous for $g(x)$ continuous

score 44 · Answer 1 · 2018-03-05 14:51:27

44

Views

Existence of a continuous function $\rho(x)$ such that $g(x) \rho(x)$ is bounded and continuous for $g(x)$ continuous

Published on 05 Mar 2018 - 14:51

score 5.3k · Answer 2 · 2018-03-06 03:11:56

5.3k

Views

Prove function is not differentiable even though all directional derivatives exist and it is continuous.

Published on 06 Mar 2018 - 3:11

score 94 · Answer 3 · 2018-03-06 07:20:40

94

Views

Continuity of functions of topological spaces

Published on 06 Mar 2018 - 7:20

score 672 · Answer 4 · 2018-03-06 08:43:47

672

Views

integral of continuous function over [0,1] is equal to some upper bound of the function implies function is constant

Published on 06 Mar 2018 - 8:43

score 62 · Answer 5 · 2018-03-06 09:49:12

62

Views

Prove that $\lim_{n \to \infty} (\int ^b_af(x)^n dx)^\frac{1}{n}=\sup _{x \in [a,b]} f(x)$

Published on 06 Mar 2018 - 9:49

score 10.6k · Answer 6 · 2018-03-06 17:40:04

10.6k

Views

Prove that if $f$ and $g$ are continuous functions then $f/g$ is also continuous

Published on 06 Mar 2018 - 17:40

score 121 · Answer 7 · 2026-03-25 15:45:52

121

Views

Theorem 41.7 in Munkres Topology

Published on 25 Mar 2026 - 15:45

score 27 · Answer 8 · 2018-03-06 20:53:15

27

Views

Let all $f:(X,T) \rightarrow (\mathbb{R}, st)$ be continuous. Show $T$ discrete.

Published on 06 Mar 2018 - 20:53

score 3.1k · Answer 9 · 2018-03-06 21:25:27

3.1k

Views

Range $R=[0,1]$ of function with domain $(0,1)$

Published on 06 Mar 2018 - 21:25

score 17.7k · Answer 10 · 2026-03-25 01:28:03

17.7k

Views

What is the proof behind $\lim f(g(x)) = f(\lim g(x))$?

Published on 25 Mar 2026 - 1:28

score 61 · Answer 11 · 2026-03-25 04:39:22

61

Views

Proving uniform continuity in $\frac{x-2}{3x-4}$

Published on 25 Mar 2026 - 4:39

score 38 · Answer 12 · 2018-03-07 17:18:53

38

Views

Problem on continuity based on functional relation

Published on 07 Mar 2018 - 17:18

score 67 · Answer 13 · 2026-03-26 14:16:15

67

Views

Extension of continuous linear functionals

Published on 26 Mar 2026 - 14:16

score 519 · Answer 14 · 2026-03-25 01:29:07

519

Views

Suppose $f$ is a real-valued function, with $f(x+y)=f(x)+f(y)$, show that $f$ can be written as $f(x)=\lambda x$

Published on 25 Mar 2026 - 1:29

score 41 · Answer 15 · 2026-03-25 11:01:06

41

Views

Existence of smallest $\delta>0$ for a continuous function

Published on 25 Mar 2026 - 11:01

List Question

Existence of a continuous function $\rho(x)$ such that $g(x) \rho(x)$ is bounded and continuous for $g(x)$ continuous

Prove function is not differentiable even though all directional derivatives exist and it is continuous.

Continuity of functions of topological spaces

integral of continuous function over [0,1] is equal to some upper bound of the function implies function is constant

Prove that $\lim_{n \to \infty} (\int ^b_af(x)^n dx)^\frac{1}{n}=\sup _{x \in [a,b]} f(x)$

Prove that if $f$ and $g$ are continuous functions then $f/g$ is also continuous

Theorem 41.7 in Munkres Topology

Let all $f:(X,T) \rightarrow (\mathbb{R}, st)$ be continuous. Show $T$ discrete.

Range $R=[0,1]$ of function with domain $(0,1)$

What is the proof behind $\lim f(g(x)) = f(\lim g(x))$?

Proving uniform continuity in $\frac{x-2}{3x-4}$

Problem on continuity based on functional relation

Extension of continuous linear functionals

Suppose $f$ is a real-valued function, with $f(x+y)=f(x)+f(y)$, show that $f$ can be written as $f(x)=\lambda x$

Existence of smallest $\delta>0$ for a continuous function

Trending Questions

Popular # Hahtags

Popular Questions