Question

When can the limit of a function be equal to the function of the limit?

score 2.3k · Answer 1 · 2018-07-27 21:54:25

2.3k

Views

When can the limit of a function be equal to the function of the limit?

Published on 27 Jul 2018 - 21:54

score 1k · Answer 2 · 2018-07-28 00:20:02

1k

Views

How do you prove that $x|x|$ is differentiable at all points?

Published on 28 Jul 2018 - 0:20

score 42 · Answer 3 · 2026-03-25 03:04:20

If $K⊆ℝ^d$ is compact and $f:[0,T]×K×K→ℝ$ is continuous with $f(t,\;⋅\;,\;⋅\;)∈C^{0+β}$, is $t↦\left\|f(t,\;⋅\;,\;⋅\;)\right\|_{C^{0+β}}$ continuous?

score 2.1k · Answer 4 · 2018-07-28 14:21:19

2.1k

Views

Show continuity at $(0,0)$ of $f(x,y)=\frac{xy}{\sqrt{x^2+y^2}}$ for $(x,y)\neq (0,0)$ and $f(0,0)=0$

Published on 28 Jul 2018 - 14:21

score 904 · Answer 5 · 2018-07-28 20:19:44

904

Views

Epsilon Delta Proof of Differentiability implies Continuity

Published on 28 Jul 2018 - 20:19

score 61 · Answer 6 · 2018-07-28 21:50:06

61

Views

On a certain topology on the set of continuous functions between topological spaces

Published on 28 Jul 2018 - 21:50

score 195 · Answer 7 · 2026-03-28 23:10:29

195

Views

Showing $f:[0,1] \rightarrow \mathbb{R}$ has finitely many isolated zeros

Published on 28 Mar 2026 - 23:10

score 47 · Answer 8 · 2018-07-29 16:13:23

47

Views

Convergence of a sequence of functions to a continuous limit

Published on 29 Jul 2018 - 16:13

score 436 · Answer 9 · 2018-07-29 17:47:17

436

Views

Let $ f $ be a continuous function in $ [a, b] $ show that.

Published on 29 Jul 2018 - 17:47

score 134 · Answer 10 · 2026-03-25 14:36:38

134

Views

Do $f(x)=3x+2^{\nu_2(x)}$ and $g(x)=3x+2^{\nu_2(x)}\cdot3^{\nu_3(x)}$ have compact support in $\Bbb Z_2$?

Published on 25 Mar 2026 - 14:36

score 378 · Answer 11 · 2026-03-25 15:45:25

378

Views

When do we need to show a function is well-defined?

Published on 25 Mar 2026 - 15:45

score 306 · Answer 12 · 2018-07-30 12:32:20

306

Views

Real-valued function $f : \mathbb{R} \to \overline{\mathbb{R}}$ is continuous iff its graph is closed

Published on 30 Jul 2018 - 12:32

score 35 · Answer 13 · 2026-03-25 16:07:05

35

Views

Reformulate continuity more rigorously

Published on 25 Mar 2026 - 16:07

score 104 · Answer 14 · 2018-07-31 01:23:21

104

Views

prove if f(x), xf(x) ∈ L1(R) then integral of f(x)sin(wx)dw is defined, continuous, and differentiable at every point w

Published on 31 Jul 2018 - 1:23

score 203 · Answer 15 · 2018-07-31 04:54:39

203

Views

How does the smoothness condition of a potential function imply the smoothness of its equipotential line?

Published on 31 Jul 2018 - 4:54

List Question

When can the limit of a function be equal to the function of the limit?

How do you prove that $x|x|$ is differentiable at all points?

If $K⊆ℝ^d$ is compact and $f:[0,T]×K×K→ℝ$ is continuous with $f(t,\;⋅\;,\;⋅\;)∈C^{0+β}$, is $t↦\left\|f(t,\;⋅\;,\;⋅\;)\right\|_{C^{0+β}}$ continuous?

Show continuity at $(0,0)$ of $f(x,y)=\frac{xy}{\sqrt{x^2+y^2}}$ for $(x,y)\neq (0,0)$ and $f(0,0)=0$

Epsilon Delta Proof of Differentiability implies Continuity

On a certain topology on the set of continuous functions between topological spaces

Showing $f:[0,1] \rightarrow \mathbb{R}$ has finitely many isolated zeros

Convergence of a sequence of functions to a continuous limit

Let $ f $ be a continuous function in $ [a, b] $ show that.

Do $f(x)=3x+2^{\nu_2(x)}$ and $g(x)=3x+2^{\nu_2(x)}\cdot3^{\nu_3(x)}$ have compact support in $\Bbb Z_2$?

When do we need to show a function is well-defined?

Real-valued function $f : \mathbb{R} \to \overline{\mathbb{R}}$ is continuous iff its graph is closed

Reformulate continuity more rigorously

prove if f(x), xf(x) ∈ L1(R) then integral of f(x)sin(wx)dw is defined, continuous, and differentiable at every point w

How does the smoothness condition of a potential function imply the smoothness of its equipotential line?

Trending Questions

Popular # Hahtags

Popular Questions