Question

How can I find the limit of this sequence $(n^2 + 1)^{1/3} - (n^2 + n)^{1/3}$?

score 78 · Answer 1 · 2026-04-16 15:33:55

78

Views

How can I find the limit of this sequence $(n^2 + 1)^{1/3} - (n^2 + n)^{1/3}$?

Published on 16 Apr 2026 - 15:33

score 81 · Answer 2 · 2026-05-11 05:43:24

81

Views

Is there a general mathematical method that determines whether any sequence of natural numbers is generated by a particular mathematical law?

Published on 11 May 2026 - 5:43

score 139 · Answer 3 · 2026-04-16 19:01:54

139

Views

Find limit of $(a_n)$ defined by $a_1 = 1$ and $a_{n+1} = \frac{1}{3+a_n}$

Published on 16 Apr 2026 - 19:01

score 100 · Answer 4 · 2026-05-10 15:52:00

100

Views

Closed form expression for $\sum_{k=0}^\infty \frac{{\rm B}_{k+1}}{(k+1)!} \, \frac{(k-s)!}{k!(-s)!} \, \left(-x\right)^k$

Published on 10 May 2026 - 15:52

score 132 · Answer 5 · 2026-04-14 23:44:05

132

Views

How can I find the limit of the following sequence $\sin ^2 (\pi \sqrt{n^2 + n})$?

Published on 14 Apr 2026 - 23:44

score 574 · Answer 6 · 2026-04-14 04:49:55

574

Views

We Can Think of the Dirac Delta Function as Being the Limit Point of a Series of Functions That Put Less and Less Mass On All Points Other Than Zero?

Published on 14 Apr 2026 - 4:49

score 110 · Answer 7 · 2026-04-16 18:09:51

110

Views

Sum the series $\frac{n}{1⋅2⋅3}+\frac{n-1}{2⋅3⋅4}+ \frac{n-2}{3⋅4⋅5}+...\text{(upto n terms)}$

Published on 16 Apr 2026 - 18:09

score 74 · Answer 8 · 2026-04-14 18:06:40

74

Views

Is $2^n$ always dominate $n^k$, where $k$ is some fixed natural number

Published on 14 Apr 2026 - 18:06

score 431 · Answer 9 · 2026-05-10 17:55:26

431

Views

Recursive square root inside square root problem

Published on 10 May 2026 - 17:55

score 78 · Answer 10 · 2026-04-15 20:39:09

78

Views

Convergence of series $\sum (\frac{n^4}{n^4+2})^{n^5-3}$

Published on 15 Apr 2026 - 20:39

score 321 · Answer 11 · 2026-04-14 09:27:38

321

Views

Uniform convergence of convolution of a distribution with a test function

Published on 14 Apr 2026 - 9:27

score 151 · Answer 12 · 2026-04-14 22:52:58

151

Views

Is the sequence $\frac{e^n}{n}$ convergent?

Published on 14 Apr 2026 - 22:52

score 98 · Answer 13 · 2026-05-11 09:48:10

98

Views

Is there a combinatorial proof of this recurrence relation for families of sets thus defined?

Published on 11 May 2026 - 9:48

score 165 · Answer 14 · 2026-05-16 01:50:01

165

Views

Does $\frac{n}{\sum\limits_{k=1}^{n}\Big(\frac{k}{k+1}\Big)^k}$ converge?

Published on 16 May 2026 - 1:50

score 58 · Answer 15 · 2026-05-11 08:33:46

58

Views

Series of Specific Matrix Products

Published on 11 May 2026 - 8:33

List Question

How can I find the limit of this sequence $(n^2 + 1)^{1/3} - (n^2 + n)^{1/3}$?

Is there a general mathematical method that determines whether any sequence of natural numbers is generated by a particular mathematical law?

Find limit of $(a_n)$ defined by $a_1 = 1$ and $a_{n+1} = \frac{1}{3+a_n}$

Closed form expression for $\sum_{k=0}^\infty \frac{{\rm B}_{k+1}}{(k+1)!} \, \frac{(k-s)!}{k!(-s)!} \, \left(-x\right)^k$

How can I find the limit of the following sequence $\sin ^2 (\pi \sqrt{n^2 + n})$?

We Can Think of the Dirac Delta Function as Being the Limit Point of a Series of Functions That Put Less and Less Mass On All Points Other Than Zero?

Sum the series $\frac{n}{1⋅2⋅3}+\frac{n-1}{2⋅3⋅4}+ \frac{n-2}{3⋅4⋅5}+...\text{(upto n terms)}$

Is $2^n$ always dominate $n^k$, where $k$ is some fixed natural number

Recursive square root inside square root problem

Convergence of series $\sum (\frac{n^4}{n^4+2})^{n^5-3}$

Uniform convergence of convolution of a distribution with a test function

Is the sequence $\frac{e^n}{n}$ convergent?

Is there a combinatorial proof of this recurrence relation for families of sets thus defined?

Does $\frac{n}{\sum\limits_{k=1}^{n}\Big(\frac{k}{k+1}\Big)^k}$ converge?

Series of Specific Matrix Products

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