Question

Harmonic series removing all terms with a $0$ in the denominator

score 730 · Answer 1 · 2026-03-25 03:07:46

730

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Harmonic series removing all terms with a $0$ in the denominator

Published on 25 Mar 2026 - 3:07

score 261 · Answer 2 · 2026-04-11 16:51:51

261

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Find $\lim_{n\to \infty} \big[\frac{1}{1\cdot3}+\frac{1}{2\cdot5}+...+\frac{1}{n\cdot(2n+1)}\big]$

Published on 11 Apr 2026 - 16:51

score 159 · Answer 3 · 2026-04-11 07:17:42

159

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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 11 Apr 2026 - 7:17

score 40 · Answer 4 · 2018-01-29 20:09:41

40

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${a_n}$ non-convergent sequence such that $1\le a_n \le 2$. Prove or disprove: $\limsup a_n\cdot \limsup \frac 1 {a_n} \gt 1$

Published on 29 Jan 2018 - 20:09

score 35 · Answer 5 · 2026-04-11 16:21:19

35

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Finite sum of expression as exponent goes to infinity

Published on 11 Apr 2026 - 16:21

score 90 · Answer 6 · 2026-04-11 16:51:21

90

Views

Given $\frac{1}{1^4}+\frac{1}{2^4}...\infty=\frac{\pi^4}{90}$

Published on 11 Apr 2026 - 16:51

score 68 · Answer 7 · 2026-03-25 13:34:21

68

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

Published on 25 Mar 2026 - 13:34

score 186 · Answer 8 · 2026-04-06 17:12:49

186

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Converging series & proving that all terms are larger than a certain number

Published on 06 Apr 2026 - 17:12

score 460 · Answer 9 · 2026-04-09 12:07:02

460

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Prove $\lim\limits_{n \to \infty} \frac{\log (n!)}{n \sqrt[n]{\log 2 \cdot \log 3 \cdots \log n}}=1$

Published on 09 Apr 2026 - 12:07

score 71 · Answer 10 · 2026-04-11 16:51:56

71

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What is the limit of the serie $\sum_{k=0}^{\infty}\frac{x^4}{(1+x^2)^k}$

Published on 11 Apr 2026 - 16:51

score 80 · Answer 11 · 2026-04-09 15:03:43

80

Views

HMM with hidden outcomes, knapsack problem

Published on 09 Apr 2026 - 15:03

score 57 · Answer 12 · 2026-04-01 10:36:21

57

Views

The series $\sum_{n=1}^\infty\frac{1}{k^{\lfloor{\log_m(n)}\rfloor}}$

Published on 01 Apr 2026 - 10:36

score 188 · Answer 13 · 2026-03-25 01:23:55

188

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Converting a taylor series with complex numbers to sigma notation: $x + (1+x^2)^(1/2)$

Published on 25 Mar 2026 - 1:23

score 74 · Answer 14 · 2026-03-25 12:17:25

74

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Proving that $a_{n} \rightarrow L$ given that $a_{n}+ 2a_{n+1} \rightarrow 3L$ .

Published on 25 Mar 2026 - 12:17

score 76 · Answer 15 · 2026-04-11 04:42:44

76

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summation of a series with Gamma function coefficients

Published on 11 Apr 2026 - 4:42

List Question

Harmonic series removing all terms with a $0$ in the denominator

Find $\lim_{n\to \infty} \big[\frac{1}{1\cdot3}+\frac{1}{2\cdot5}+...+\frac{1}{n\cdot(2n+1)}\big]$

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

${a_n}$ non-convergent sequence such that $1\le a_n \le 2$. Prove or disprove: $\limsup a_n\cdot \limsup \frac 1 {a_n} \gt 1$

Finite sum of expression as exponent goes to infinity

Given $\frac{1}{1^4}+\frac{1}{2^4}...\infty=\frac{\pi^4}{90}$

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

Converging series & proving that all terms are larger than a certain number

Prove $\lim\limits_{n \to \infty} \frac{\log (n!)}{n \sqrt[n]{\log 2 \cdot \log 3 \cdots \log n}}=1$

What is the limit of the serie $\sum_{k=0}^{\infty}\frac{x^4}{(1+x^2)^k}$

HMM with hidden outcomes, knapsack problem

The series $\sum_{n=1}^\infty\frac{1}{k^{\lfloor{\log_m(n)}\rfloor}}$

Converting a taylor series with complex numbers to sigma notation: $x + (1+x^2)^(1/2)$

Proving that $a_{n} \rightarrow L$ given that $a_{n}+ 2a_{n+1} \rightarrow 3L$ .

summation of a series with Gamma function coefficients

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