Question

Approaching a continuous function with polynomials satisfying $\left|P_n\left(x\right)-f\left(x\right)\right|<\frac{2}{n}$

score 72 · Answer 1 · 2026-04-16 22:29:32

72

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Approaching a continuous function with polynomials satisfying $\left|P_n\left(x\right)-f\left(x\right)\right|<\frac{2}{n}$

Published on 16 Apr 2026 - 22:29

score 152 · Answer 2 · 2026-04-15 18:29:56

152

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Show that a function $N:\mathcal Y \rightarrow \mathbb R _+$ defined by $N(y)= \left\lvert \int_a^b y(x) dx \right\rvert$ doesn't define a norm...

Published on 15 Apr 2026 - 18:29

score 57 · Answer 3 · 2026-04-17 02:50:33

57

Views

Question on the proof of the continuity of an inverse function

Published on 17 Apr 2026 - 2:50

score 512 · Answer 4 · 2026-04-14 05:27:19

512

Views

Prove the tangent line exists

Published on 14 Apr 2026 - 5:27

score 1.6k · Answer 5 · 2026-03-26 09:26:16

1.6k

Views

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Published on 26 Mar 2026 - 9:26

score 420 · Answer 6 · 2026-04-15 13:00:45

420

Views

Any field that contains the integers contains the rationals as a subfield (Analysis proof)

Published on 15 Apr 2026 - 13:00

score 72 · Answer 7 · 2026-04-28 13:52:32

72

Views

$\frac{d}{dt}H\bigl(t,u(t),v(t)\bigr)$, does introductory calculus books introduce such chain rule?

Published on 28 Apr 2026 - 13:52

score 57 · Answer 8 · 2026-04-16 03:34:37

57

Views

If $\{x_n\}$ is a sequence which converges to zero and $\lim \frac{x_{n+1}}{x_n}=x$ exists then $x \in [-1,1]$

Published on 16 Apr 2026 - 3:34

score 62 · Answer 9 · 2026-04-12 11:53:48

62

Views

What's an example of a function that is continuous at $0$ but is not second-differentable at $0$?

Published on 12 Apr 2026 - 11:53

score 165 · Answer 10 · 2026-04-30 14:48:00

165

Views

Indeterminate form: $0^0$

Published on 30 Apr 2026 - 14:48

score 148 · Answer 11 · 2026-04-16 22:06:26

148

Views

Uniform Convergence of uniformly bounded Operators

Published on 16 Apr 2026 - 22:06

score 352 · Answer 12 · 2026-04-12 10:28:11

352

Views

Problem understanding a proof (Folland's Real analysis, theorem 6.18)

Published on 12 Apr 2026 - 10:28

score 138 · Answer 13 · 2026-04-09 19:12:47

138

Views

Finding an explicit function between two topological spaces to show they're homeomorphic

Published on 09 Apr 2026 - 19:12

score 51 · Answer 14 · 2026-04-06 19:24:41

51

Views

Integrating a surface in a cylinder

Published on 06 Apr 2026 - 19:24

score 1.3k · Answer 15 · 2026-04-13 00:35:24

1.3k

Views

Proving continuity of a function in a normed space

Published on 13 Apr 2026 - 0:35

List Question

Approaching a continuous function with polynomials satisfying $\left|P_n\left(x\right)-f\left(x\right)\right|<\frac{2}{n}$

Show that a function $N:\mathcal Y \rightarrow \mathbb R _+$ defined by $N(y)= \left\lvert \int_a^b y(x) dx \right\rvert$ doesn't define a norm...

Question on the proof of the continuity of an inverse function

Prove the tangent line exists

On 1-1 correspondence and equivalence relation

Any field that contains the integers contains the rationals as a subfield (Analysis proof)

$\frac{d}{dt}H\bigl(t,u(t),v(t)\bigr)$, does introductory calculus books introduce such chain rule?

If $\{x_n\}$ is a sequence which converges to zero and $\lim \frac{x_{n+1}}{x_n}=x$ exists then $x \in [-1,1]$

What's an example of a function that is continuous at $0$ but is not second-differentable at $0$?

Indeterminate form: $0^0$

Uniform Convergence of uniformly bounded Operators

Problem understanding a proof (Folland's Real analysis, theorem 6.18)

Finding an explicit function between two topological spaces to show they're homeomorphic

Integrating a surface in a cylinder

Proving continuity of a function in a normed space

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