Question

Proving that $f(x)=2x^2-1$ is continuous using the epsilon delta definition

score 739 · Answer 1 · 2026-03-25 19:03:55

739

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Proving that $f(x)=2x^2-1$ is continuous using the epsilon delta definition

Published on 25 Mar 2026 - 19:03

score 96 · Answer 2 · 2026-03-26 14:42:05

96

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How to check whether $\sin (x \sin x)$ is uniformly continuous or not on $\mathbb R$.

Published on 26 Mar 2026 - 14:42

score 81 · Answer 3 · 2018-09-11 16:33:57

81

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Show that any function is Hölder -continuous is continuous

Published on 11 Sep 2018 - 16:33

score 126 · Answer 4 · 2026-02-23 03:01:21

126

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Prove that $\{f_n\}^{\infty}_{n=1}$ is equicontinuous $K$ if $\{f_n\}^{\infty}_{n=1}$ is uniformly convergent on $K$

Published on 23 Feb 2026 - 3:01

score 321 · Answer 5 · 2018-09-11 21:54:47

321

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Show $l_o$-norm is a semi-continuous function?

Published on 11 Sep 2018 - 21:54

score 75 · Answer 6 · 2018-09-11 23:31:37

75

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Separate and joint continuity of a function

Published on 11 Sep 2018 - 23:31

score 199 · Answer 7 · 2026-02-23 03:00:00

199

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Prove that $f_n(x)=\sin{\sqrt{x+4n^2\pi ^2}}\,,\;x\geq 0$ is equicontinous on $[0,+\infty)$

Published on 23 Feb 2026 - 3:00

score 894 · Answer 8 · 2026-03-25 11:25:32

894

Views

Generalization of Lipschitz continuity to higher order polynomials?

Published on 25 Mar 2026 - 11:25

score 68 · Answer 9 · 2018-09-12 17:19:08

68

Views

Limit in two variables with polar coordinates

Published on 12 Sep 2018 - 17:19

score 257 · Answer 10 · 2026-03-29 17:43:15

257

Views

Partial derivatives are zero in some point, when the limit in boundary points are zero.

Published on 29 Mar 2026 - 17:43

score 182 · Answer 11 · 2018-09-13 05:17:19

182

Views

Proving any polynomial of odd degree must have at least one real root

Published on 13 Sep 2018 - 5:17

score 130 · Answer 12 · 2018-09-13 07:19:55

130

Views

Real Analysis, Continuous functions.

Published on 13 Sep 2018 - 7:19

score 33 · Answer 13 · 2018-09-13 07:42:20

33

Views

Limit in two variables with polar coordinates and parameterization

Published on 13 Sep 2018 - 7:42

score 56 · Answer 14 · 2018-09-13 12:52:04

56

Views

Showing that two distinct solutions exist

Published on 13 Sep 2018 - 12:52

score 211 · Answer 15 · 2026-03-25 16:05:16

211

Views

Does every continuous conjugation-invariant function factor through polynomials in the eigenvalues?

Published on 25 Mar 2026 - 16:05

List Question

Proving that $f(x)=2x^2-1$ is continuous using the epsilon delta definition

How to check whether $\sin (x \sin x)$ is uniformly continuous or not on $\mathbb R$.

Show that any function is Hölder -continuous is continuous

Prove that $\{f_n\}^{\infty}_{n=1}$ is equicontinuous $K$ if $\{f_n\}^{\infty}_{n=1}$ is uniformly convergent on $K$

Show $l_o$-norm is a semi-continuous function?

Separate and joint continuity of a function

Prove that $f_n(x)=\sin{\sqrt{x+4n^2\pi ^2}}\,,\;x\geq 0$ is equicontinous on $[0,+\infty)$

Generalization of Lipschitz continuity to higher order polynomials?

Limit in two variables with polar coordinates

Partial derivatives are zero in some point, when the limit in boundary points are zero.

Proving any polynomial of odd degree must have at least one real root

Real Analysis, Continuous functions.

Limit in two variables with polar coordinates and parameterization

Showing that two distinct solutions exist

Does every continuous conjugation-invariant function factor through polynomials in the eigenvalues?

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