Question

Sequence of functions of a sequence of real numbers

score 42 · Answer 1 · 2026-04-15 13:02:01

42

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Sequence of functions of a sequence of real numbers

Published on 15 Apr 2026 - 13:02

score 654 · Answer 2 · 2026-04-18 23:34:59

654

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What's the supremum of $\left\{(-1)^n(1-\frac{1}{n^2}): n \in \mathbb{N}\right\}$?

Published on 18 Apr 2026 - 23:34

score 209 · Answer 3 · 2026-05-10 14:30:50

209

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Definition of equicontinuity

Published on 10 May 2026 - 14:30

score 47 · Answer 4 · 2026-04-13 17:14:21

47

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Existence of a continuous function $\rho(x)$ such that $g(x) \rho(x)$ is bounded and continuous for $g(x)$ continuous

Published on 13 Apr 2026 - 17:14

score 200 · Answer 5 · 2026-05-10 12:51:48

200

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Looking for ${f_n}$ such that $\int_0^1 (x-t)^{m-1}f_n(t) dt = \delta_{n,m}$

Published on 10 May 2026 - 12:51

score 159 · Answer 6 · 2026-05-14 16:08:33

159

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Why do we have that $ \sqrt{ 1 + \frac{- \log \log n}{\log n} + o(\tfrac{1}{\log n})} = 1 + \frac{- \log \log n}{2\log n} + o(\tfrac{1}{\log n}) $?

Published on 14 May 2026 - 16:08

score 51 · Answer 7 · 2026-05-11 09:28:37

51

Views

Upper bound for integral of two variables

Published on 11 May 2026 - 9:28

score 692 · Answer 8 · 2026-04-16 04:57:27

692

Views

Define $x_0=0$ and $x_{n+1}=x_n-[(\tan x_n-1)/\sec^2x_n]$. What is $\lim_{n\to \infty}x_n$ in this example? Relate this to Newton's method.

Published on 16 Apr 2026 - 4:57

score 71 · Answer 9 · 2026-05-05 05:52:39

71

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Does $\lim \limits_{n\rightarrow \infty}\sum_{j=1}^{n} \frac{x}{1+j^2x^2}$ uniformly converge to $f$?

Published on 05 May 2026 - 5:52

score 113 · Answer 10 · 2026-04-13 11:40:31

113

Views

the sum of the series $\sum \frac{n}{2^{n}}$

Published on 13 Apr 2026 - 11:40

score 77 · Answer 11 · 2026-04-16 12:16:26

77

Views

Calculating $g^{(1000)}(0)$ of $g(x)=\exp(x^{999})$

Published on 16 Apr 2026 - 12:16

score 31 · Answer 12 · 2026-04-13 01:17:57

31

Views

What are closure and boundary of $(-\infty,\infty)\times (0,T)$

Published on 13 Apr 2026 - 1:17

score 99 · Answer 13 · 2026-04-19 04:00:20

99

Views

Calculating $\inf \left\{\exp((-1)^nn)\right\}$ via the $\epsilon$-definition?

Published on 19 Apr 2026 - 4:00

score 1.1k · Answer 14 · 2026-04-13 07:45:01

1.1k

Views

Devise a Newton iteration formula for computing $\sqrt[3]{R}$ where $R>0$. Perform a graphical analysis of your function $f(x)$ to determine

Published on 13 Apr 2026 - 7:45

score 28 · Answer 15 · 2026-04-19 04:00:20

28

Views

Showing that a piece-wise defined sequence converges to $0$ via $\epsilon$-definition?

Published on 19 Apr 2026 - 4:00

List Question

Sequence of functions of a sequence of real numbers

What's the supremum of $\left\{(-1)^n(1-\frac{1}{n^2}): n \in \mathbb{N}\right\}$?

Definition of equicontinuity

Existence of a continuous function $\rho(x)$ such that $g(x) \rho(x)$ is bounded and continuous for $g(x)$ continuous

Looking for ${f_n}$ such that $\int_0^1 (x-t)^{m-1}f_n(t) dt = \delta_{n,m}$

Why do we have that $ \sqrt{ 1 + \frac{- \log \log n}{\log n} + o(\tfrac{1}{\log n})} = 1 + \frac{- \log \log n}{2\log n} + o(\tfrac{1}{\log n}) $?

Upper bound for integral of two variables

Define $x_0=0$ and $x_{n+1}=x_n-[(\tan x_n-1)/\sec^2x_n]$. What is $\lim_{n\to \infty}x_n$ in this example? Relate this to Newton's method.

Does $\lim \limits_{n\rightarrow \infty}\sum_{j=1}^{n} \frac{x}{1+j^2x^2}$ uniformly converge to $f$?

the sum of the series $\sum \frac{n}{2^{n}}$

Calculating $g^{(1000)}(0)$ of $g(x)=\exp(x^{999})$

What are closure and boundary of $(-\infty,\infty)\times (0,T)$

Calculating $\inf \left\{\exp((-1)^nn)\right\}$ via the $\epsilon$-definition?

Devise a Newton iteration formula for computing $\sqrt[3]{R}$ where $R>0$. Perform a graphical analysis of your function $f(x)$ to determine

Showing that a piece-wise defined sequence converges to $0$ via $\epsilon$-definition?

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