Question

Prove $\inf\left\{1,\frac{1}{2},\frac{1}{3},\frac{1}{4},\frac{1}{5},\ldots\right\} =0$

score 77 · Answer 1 · 2026-04-17 13:41:32

77

Views

Prove $\inf\left\{1,\frac{1}{2},\frac{1}{3},\frac{1}{4},\frac{1}{5},\ldots\right\} =0$

Published on 17 Apr 2026 - 13:41

score 63 · Answer 2 · 2026-04-14 19:32:03

63

Views

Prove $i$ is a point of accumulation

Published on 14 Apr 2026 - 19:32

score 1.1k · Answer 3 · 2026-04-13 12:38:25

1.1k

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Showing that f is Riemann integrable

Published on 13 Apr 2026 - 12:38

score 343 · Answer 4 · 2026-04-17 13:05:32

343

Views

How interpret $\||x|^\gamma u\|_{L^r}\leq C\|\nabla u\|_{L^p}^{a}\||x|^\beta u\|_{L^q}^{1-a}$ for $u\in\mathcal C_0^1(\mathbb R^d)$?

Published on 17 Apr 2026 - 13:05

score 221 · Answer 5 · 2026-04-12 16:01:30

221

Views

Exercise on showing that a function with a jump discontinuity must have infinite energy

Published on 12 Apr 2026 - 16:01

score 164 · Answer 6 · 2026-04-12 17:27:28

164

Views

How to prove that a function $f$ has a limit $l$ when $x \to x_0$, using the ε-δ definition?

Published on 12 Apr 2026 - 17:27

score 161 · Answer 7 · 2026-04-17 12:10:00

161

Views

Convergence of $(x_n)_n$ if $2018^2=x_{n+1}\sqrt[n+1]{x_1\cdot x_2\cdots x_n}$ $\forall~n$

Published on 17 Apr 2026 - 12:10

score 81 · Answer 8 · 2026-04-12 00:54:34

81

Views

Find the region for double integrals

Published on 12 Apr 2026 - 0:54

score 354 · Answer 9 · 2026-04-09 03:42:04

354

Views

Differentiable dependence on initial conditions and parameters of an ODE

Published on 09 Apr 2026 - 3:42

score 76 · Answer 10 · 2026-04-13 12:32:27

76

Views

Mathematical Logic and Connectives

Published on 13 Apr 2026 - 12:32

score 51 · Answer 11 · 2026-04-18 09:18:34

51

Views

Which equation satisfies $\partial\phi_{t_0}$ and under what initial conditions?

Published on 18 Apr 2026 - 9:18

score 50 · Answer 12 · 2026-04-11 13:05:47

50

Views

Explicit solution of ODE

Published on 11 Apr 2026 - 13:05

score 500 · Answer 13 · 2026-04-14 12:36:46

500

Views

Show that every open set A in a metric space (X, d) is the union of closed sets.

Published on 14 Apr 2026 - 12:36

score 259 · Answer 14 · 2026-04-17 03:40:46

259

Views

Equality of Ratio of Gamma Functions

Published on 17 Apr 2026 - 3:40

score 70 · Answer 15 · 2026-04-15 23:45:29

70

Views

Let $a_{n+1}=\frac{2a_{n}+1}{a_{n}+1}$ .For $a_{1}$=1 can we show that $a_{n}$<2

Published on 15 Apr 2026 - 23:45

List Question

Prove $\inf\left\{1,\frac{1}{2},\frac{1}{3},\frac{1}{4},\frac{1}{5},\ldots\right\} =0$

Prove $i$ is a point of accumulation

Showing that f is Riemann integrable

How interpret $\||x|^\gamma u\|_{L^r}\leq C\|\nabla u\|_{L^p}^{a}\||x|^\beta u\|_{L^q}^{1-a}$ for $u\in\mathcal C_0^1(\mathbb R^d)$?

Exercise on showing that a function with a jump discontinuity must have infinite energy

How to prove that a function $f$ has a limit $l$ when $x \to x_0$, using the ε-δ definition?

Convergence of $(x_n)_n$ if $2018^2=x_{n+1}\sqrt[n+1]{x_1\cdot x_2\cdots x_n}$ $\forall~n$

Find the region for double integrals

Differentiable dependence on initial conditions and parameters of an ODE

Mathematical Logic and Connectives

Which equation satisfies $\partial\phi_{t_0}$ and under what initial conditions?

Explicit solution of ODE

Show that every open set A in a metric space (X, d) is the union of closed sets.

Equality of Ratio of Gamma Functions

Let $a_{n+1}=\frac{2a_{n}+1}{a_{n}+1}$ .For $a_{1}$=1 can we show that $a_{n}$<2

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