Question

Does the inequality used in the squeeze theorem have to hold true for all values of n?

score 58 · Answer 1 · 2026-04-15 11:57:26

58

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Does the inequality used in the squeeze theorem have to hold true for all values of n?

Published on 15 Apr 2026 - 11:57

score 10.7k · Answer 2 · 2026-04-12 08:06:51

10.7k

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Computing series $\sum_{n=1}^{\infty} 1/n^2$ using Fourier Series

Published on 12 Apr 2026 - 8:06

score 83 · Answer 3 · 2026-04-12 01:18:06

83

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Confusion regarding the summation used in the equation

Published on 12 Apr 2026 - 1:18

score 68 · Answer 4 · 2026-04-13 04:11:17

68

Views

calculate the given limites ?1

Published on 13 Apr 2026 - 4:11

score 112 · Answer 5 · 2026-04-16 08:31:20

112

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find $\lim \sup x_n$ and $\lim \inf x_n$.

Published on 16 Apr 2026 - 8:31

score 1.7k · Answer 6 · 2026-04-15 13:36:17

1.7k

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proof $\lim \inf x_n + \lim \inf y_n \le \lim \inf (x_n+y_n)$ (clarification)

Published on 15 Apr 2026 - 13:36

score 530 · Answer 7 · 2026-04-15 23:06:06

530

Views

Showing that there exists a sequence $C_n > 0$ such that $ C_n \to ∞, $ with $(C_nf_n)_n$ converges to zero a.e

Published on 15 Apr 2026 - 23:06

score 71 · Answer 8 · 2026-04-11 13:53:35

71

Views

On miscellaneous questions about perfect numbers II

Published on 11 Apr 2026 - 13:53

score 205 · Answer 9 · 2026-04-15 22:05:54

205

Views

Does the sequence $x_0=8$ , $x_{n+1}=4x_n+1$ contain a prime?

Published on 15 Apr 2026 - 22:05

score 131 · Answer 10 · 2026-04-23 06:41:54

131

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Calculate limit of $\lim_{n \to \infty}4\sqrt{n+3}-\sqrt{n-1}-5\sqrt{n+7}+2\sqrt{n-3}$

Published on 23 Apr 2026 - 6:41

score 61 · Answer 11 · 2026-04-16 12:54:39

61

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I can't find the limit of this sequence series

Published on 16 Apr 2026 - 12:54

score 1.9k · Answer 12 · 2026-04-09 15:28:33

1.9k

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Finite Complex Exponential Geometric Series with Negative Exponents

Published on 09 Apr 2026 - 15:28

score 77 · Answer 13 · 2026-04-15 04:19:09

77

Views

Show that $\{x_n\}_{n=1}^{\infty}$ is cauchy.

Published on 15 Apr 2026 - 4:19

score 925 · Answer 14 · 2026-04-17 07:20:48

925

Views

If $\{x_n\}$ is a Cauchy sequence then there exists an $M$ such that for all $n \ge M$ we have $|x_{n+1}-x_n| \le |x_n-x_{n-1}|$.

Published on 17 Apr 2026 - 7:20

score 457 · Answer 15 · 2026-04-17 02:46:17

457

Views

Prove that the sequence $b_n = 1$, $b_{n+1} = \frac{1}{1+b_n}$ converges.

Published on 17 Apr 2026 - 2:46

List Question

Does the inequality used in the squeeze theorem have to hold true for all values of n?

Computing series $\sum_{n=1}^{\infty} 1/n^2$ using Fourier Series

Confusion regarding the summation used in the equation

calculate the given limites ?1

find $\lim \sup x_n$ and $\lim \inf x_n$.

proof $\lim \inf x_n + \lim \inf y_n \le \lim \inf (x_n+y_n)$ (clarification)

Showing that there exists a sequence $C_n > 0$ such that $ C_n \to ∞, $ with $(C_nf_n)_n$ converges to zero a.e

On miscellaneous questions about perfect numbers II

Does the sequence $x_0=8$ , $x_{n+1}=4x_n+1$ contain a prime?

Calculate limit of $\lim_{n \to \infty}4\sqrt{n+3}-\sqrt{n-1}-5\sqrt{n+7}+2\sqrt{n-3}$

I can't find the limit of this sequence series

Finite Complex Exponential Geometric Series with Negative Exponents

Show that $\{x_n\}_{n=1}^{\infty}$ is cauchy.

If $\{x_n\}$ is a Cauchy sequence then there exists an $M$ such that for all $n \ge M$ we have $|x_{n+1}-x_n| \le |x_n-x_{n-1}|$.

Prove that the sequence $b_n = 1$, $b_{n+1} = \frac{1}{1+b_n}$ converges.

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