Question

Can I say an inverse function is continuous at point by the continuity of composite function theorem?

score 103 · Answer 1 · 2026-04-09 17:43:04

103

Views

Can I say an inverse function is continuous at point by the continuity of composite function theorem?

Published on 09 Apr 2026 - 17:43

score 221 · Answer 2 · 2026-04-13 05:10:23

221

Views

Prove That a Specific Equation has a Solution Over a Given Closed Interval

Published on 13 Apr 2026 - 5:10

score 36 · Answer 3 · 2026-04-13 20:29:49

36

Views

Sequence of continous functions converges uniformly to a funtion then that function is continous

Published on 13 Apr 2026 - 20:29

score 62 · Answer 4 · 2026-04-15 07:49:54

62

Views

Is there a function that has point reflection in $(0,0)$ and that is only not differentiable in $x=0$?

Published on 15 Apr 2026 - 7:49

score 197 · Answer 5 · 2026-04-09 15:36:46

197

Views

Understanding the maximum theorem. Continuity of convex optimization problem with parameterized constraints.

Published on 09 Apr 2026 - 15:36

score 39 · Answer 6 · 2019-07-11 17:28:37

39

Views

Study continuity of the function $f(x) = \lim_{t\to+\infty} (1+x)\tan(xt)$ and sketch its graph.

Published on 11 Jul 2019 - 17:28

score 290 · Answer 7 · 2026-04-09 11:45:19

290

Views

Intuitively, why are the two limit definitions of $e^x$ equivalent?

Published on 09 Apr 2026 - 11:45

score 210 · Answer 8 · 2026-04-11 03:45:38

210

Views

Differentiable functions whose derivative is continuous

Published on 11 Apr 2026 - 3:45

score 130 · Answer 9 · 2026-04-10 13:52:10

130

Views

Interest Modeling Problem Mistake?

Published on 10 Apr 2026 - 13:52

score 127 · Answer 10 · 2026-04-15 04:14:31

127

Views

Why does $(f_{n})_{n}$ equicontinuous and $f_{n}$ uniformly continuous not imply $ (f_{n})_{n}$ uniformly equicontinuous

Published on 15 Apr 2026 - 4:14

score 40 · Answer 11 · 2026-04-14 21:03:20

40

Views

Showing well-definedness of an equivalence class in $L^{\infty}(\mathbb R)$

Published on 14 Apr 2026 - 21:03

score 106 · Answer 12 · 2026-04-12 01:12:45

106

Views

Compact subsets for a given topology

Published on 12 Apr 2026 - 1:12

score 698 · Answer 13 · 2026-04-14 17:41:37

698

Views

Let $X \subseteq \Bbb Q^2$. Suppose each continuous function $f:X \to \Bbb R^2$ is bounded. Then $X$ is finite.

Published on 14 Apr 2026 - 17:41

score 66 · Answer 14 · 2026-04-13 11:09:47

66

Views

Continuity between two metric-spaces

Published on 13 Apr 2026 - 11:09

score 172 · Answer 15 · 2026-04-10 04:08:23

172

Views

Changing the order of quantifiers in the definition of continuity of function

Published on 10 Apr 2026 - 4:08

List Question

Can I say an inverse function is continuous at point by the continuity of composite function theorem?

Prove That a Specific Equation has a Solution Over a Given Closed Interval

Sequence of continous functions converges uniformly to a funtion then that function is continous

Is there a function that has point reflection in $(0,0)$ and that is only not differentiable in $x=0$?

Understanding the maximum theorem. Continuity of convex optimization problem with parameterized constraints.

Study continuity of the function $f(x) = \lim_{t\to+\infty} (1+x)\tan(xt)$ and sketch its graph.

Intuitively, why are the two limit definitions of $e^x$ equivalent?

Differentiable functions whose derivative is continuous

Interest Modeling Problem Mistake?

Why does $(f_{n})_{n}$ equicontinuous and $f_{n}$ uniformly continuous not imply $ (f_{n})_{n}$ uniformly equicontinuous

Showing well-definedness of an equivalence class in $L^{\infty}(\mathbb R)$

Compact subsets for a given topology

Let $X \subseteq \Bbb Q^2$. Suppose each continuous function $f:X \to \Bbb R^2$ is bounded. Then $X$ is finite.

Continuity between two metric-spaces

Changing the order of quantifiers in the definition of continuity of function

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