Question

Supremum vs limit supremum; notation confusion

score 39 · Answer 1 · 2026-04-14 19:38:18

39

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Supremum vs limit supremum; notation confusion

Published on 14 Apr 2026 - 19:38

score 289 · Answer 2 · 2026-04-16 18:40:28

289

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Calculate the limit: $\lim_{n\to\infty}n^2\left(\left(1+\frac{1}{n}\right)^8-\left(1+\frac{2}{n}\right)^4\right)$

Published on 16 Apr 2026 - 18:40

score 59 · Answer 3 · 2026-04-12 13:56:58

59

Views

On proving a limit tending to zero

Published on 12 Apr 2026 - 13:56

score 95 · Answer 4 · 2026-04-13 07:14:15

95

Views

Find the sub-sequential limits of a recursive sequence

Published on 13 Apr 2026 - 7:14

score 56 · Answer 5 · 2026-04-11 17:57:14

56

Views

L'Hopital example where derivative of denominator does not converge.

Published on 11 Apr 2026 - 17:57

score 30 · Answer 6 · 2026-03-25 01:23:53

30

Views

Sum of Geometric Progressions for any ordered Field

Published on 25 Mar 2026 - 1:23

score 68 · Answer 7 · 2026-04-15 02:05:49

68

Views

how to prove that: $\lim_{n\to \infty} \int_{-\infty}^{+\infty}\,f(t)\cdotδ_n(t)\,dt=f(0)$ using limit of a sequence?

Published on 15 Apr 2026 - 2:05

score 566 · Answer 8 · 2026-04-12 23:46:38

566

Views

Proving Area of circle by triangles

Published on 12 Apr 2026 - 23:46

score 244 · Answer 9 · 2026-04-15 06:39:56

244

Views

Prove that the sequence converges to using the $\varepsilon$-$N$ definition of a limit

Published on 15 Apr 2026 - 6:39

score 196 · Answer 10 · 2026-04-13 09:39:44

196

Views

Basic property of $o_p$/stochastic orders of magnitude

Published on 13 Apr 2026 - 9:39

score 33 · Answer 11 · 2026-04-17 07:25:08

33

Views

Is really :$\lim _{x\to -n } ( x+n)\Gamma(x)=0 $, with $n\in \mathbb{N}$?

Published on 17 Apr 2026 - 7:25

score 79 · Answer 12 · 2026-04-09 16:24:38

79

Views

Problem with an alternative (wrong) definition of a limit

Published on 09 Apr 2026 - 16:24

score 53 · Answer 13 · 2026-04-09 18:34:03

53

Views

Limits with sine and a fraction

Published on 09 Apr 2026 - 18:34

score 63 · Answer 14 · 2026-04-14 06:41:07

63

Views

Prove $x_n=\frac{n+(-1)^n}{n+2}$ has limit 1 from first principles

Published on 14 Apr 2026 - 6:41

score 1.4k · Answer 15 · 2026-04-14 12:11:05

1.4k

Views

Prove that if an infinite sequence converges to $L$ the average of all those numbers also converges to $L$.

Published on 14 Apr 2026 - 12:11

List Question

Supremum vs limit supremum; notation confusion

Calculate the limit: $\lim_{n\to\infty}n^2\left(\left(1+\frac{1}{n}\right)^8-\left(1+\frac{2}{n}\right)^4\right)$

On proving a limit tending to zero

Find the sub-sequential limits of a recursive sequence

L'Hopital example where derivative of denominator does not converge.

Sum of Geometric Progressions for any ordered Field

how to prove that: $\lim_{n\to \infty} \int_{-\infty}^{+\infty}\,f(t)\cdotδ_n(t)\,dt=f(0)$ using limit of a sequence?

Proving Area of circle by triangles

Prove that the sequence converges to using the $\varepsilon$-$N$ definition of a limit

Basic property of $o_p$/stochastic orders of magnitude

Is really :$\lim _{x\to -n } ( x+n)\Gamma(x)=0 $, with $n\in \mathbb{N}$?

Problem with an alternative (wrong) definition of a limit

Limits with sine and a fraction

Prove $x_n=\frac{n+(-1)^n}{n+2}$ has limit 1 from first principles

Prove that if an infinite sequence converges to $L$ the average of all those numbers also converges to $L$.

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