Question

Show that continuous functions with limits equal are neither 1-1 nor onto.

score 334 · Answer 1 · 2026-04-14 04:07:53

334

Views

Show that continuous functions with limits equal are neither 1-1 nor onto.

Published on 14 Apr 2026 - 4:07

score 181 · Answer 2 · 2026-04-13 04:43:13

181

Views

Determine if the set $\{\textbf{x} \in \mathbb{R^2} : 2\leq \|\textbf{x}\| \leq 4 \}$ is compact

Published on 13 Apr 2026 - 4:43

score 393 · Answer 3 · 2026-04-10 17:06:37

393

Views

limits as x goes to negative infinity

Published on 10 Apr 2026 - 17:06

score 2.3k · Answer 4 · 2026-04-11 09:33:23

2.3k

Views

Show that the union of finitely many compact sets is compact

Published on 11 Apr 2026 - 9:33

score 68 · Answer 5 · 2026-04-16 08:52:35

68

Views

Convergence of $\int_0^\infty \frac{\sin(x+x^2)}{x^n} \, \mathrm d x$

Published on 16 Apr 2026 - 8:52

score 169 · Answer 6 · 2026-04-08 12:36:39

169

Views

Clarification on proof of converging sequences

Published on 08 Apr 2026 - 12:36

score 214 · Answer 7 · 2026-04-25 12:38:55

214

Views

Bounded weighted supremum norm and uniform integrability

Published on 25 Apr 2026 - 12:38

score 747 · Answer 8 · 2026-04-13 08:27:15

747

Views

Convergence of $\sum_{n=2}^\infty \frac{1}{(n(\log n)^p )}$ using the integral test

Published on 13 Apr 2026 - 8:27

score 244 · Answer 9 · 2026-04-21 10:08:54

244

Views

Thinking of sequence where $f_n'$ does not converge to $f'$

Published on 21 Apr 2026 - 10:08

score 148 · Answer 10 · 2026-03-25 20:13:48

148

Views

Computing $\lim_{n \rightarrow \infty} \int_{0}^{\pi/3} \frac{\sin^{n}x}{\sin^{n}x+\cos^{n}x}dx$ using Dominated Convergence Theorem

Published on 25 Mar 2026 - 20:13

score 36 · Answer 11 · 2026-04-14 19:22:02

36

Views

$\sigma$-finiteness of $(\mathbb{R},\mathcal{B}^1,\mu)$

Published on 14 Apr 2026 - 19:22

score 77 · Answer 12 · 2026-04-12 18:59:43

77

Views

Cannot understand the proof

Published on 12 Apr 2026 - 18:59

score 68 · Answer 13 · 2026-04-09 06:39:13

68

Views

Convergence of a series through comparison test

Published on 09 Apr 2026 - 6:39

score 59 · Answer 14 · 2026-04-22 13:31:27

59

Views

Proving by definition that sequence is Cauchy

Published on 22 Apr 2026 - 13:31

score 68 · Answer 15 · 2026-04-16 18:25:41

68

Views

,If $\int_{0}^{1}f(x)dx$=$\int_{0}^{1}g(x)dx$,then show that$ f= g $.

Published on 16 Apr 2026 - 18:25

List Question

Show that continuous functions with limits equal are neither 1-1 nor onto.

Determine if the set $\{\textbf{x} \in \mathbb{R^2} : 2\leq \|\textbf{x}\| \leq 4 \}$ is compact

limits as x goes to negative infinity

Show that the union of finitely many compact sets is compact

Convergence of $\int_0^\infty \frac{\sin(x+x^2)}{x^n} \, \mathrm d x$

Clarification on proof of converging sequences

Bounded weighted supremum norm and uniform integrability

Convergence of $\sum_{n=2}^\infty \frac{1}{(n(\log n)^p )}$ using the integral test

Thinking of sequence where $f_n'$ does not converge to $f'$

Computing $\lim_{n \rightarrow \infty} \int_{0}^{\pi/3} \frac{\sin^{n}x}{\sin^{n}x+\cos^{n}x}dx$ using Dominated Convergence Theorem

$\sigma$-finiteness of $(\mathbb{R},\mathcal{B}^1,\mu)$

Cannot understand the proof

Convergence of a series through comparison test

Proving by definition that sequence is Cauchy

,If $\int_{0}^{1}f(x)dx$=$\int_{0}^{1}g(x)dx$,then show that$ f= g $.

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