Question

How can I determine general formula of this sequence?

score 186 · Answer 1 · 2026-04-11 03:25:50

186

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How can I determine general formula of this sequence?

Published on 11 Apr 2026 - 3:25

score 831 · Answer 2 · 2026-04-15 19:38:53

831

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Every convergent sequence $(x_n)$ is bounded in $(M,d)$

Published on 15 Apr 2026 - 19:38

score 146 · Answer 3 · 2026-04-16 05:07:01

146

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How can I find the limit of the following sequence $\frac{1}{2} . \frac {3}{4} ....... \frac {2n - 1}{2n} $?

Published on 16 Apr 2026 - 5:07

score 42 · Answer 4 · 2026-05-15 05:32:24

42

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If $f(x)=\sum^{\infty}_{n=0}a_n x^n$ converges for $x=50$, can $f$ be uniformly continuous over $[0,10]$?

Published on 15 May 2026 - 5:32

score 41 · Answer 5 · 2026-04-12 14:38:03

41

Views

General expression of finite, integer sequence, containing the ceiling function

Published on 12 Apr 2026 - 14:38

score 498 · Answer 6 · 2026-04-15 22:53:07

498

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Given $\{ x_n\}$ be a sequence of rational numbers such that $\lim_{n \to \infty}x_n=0$ then $\lim_{n \to \infty} a^{x_n}=1$

Published on 15 Apr 2026 - 22:53

score 69 · Answer 7 · 2026-04-18 22:25:57

69

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Expectation Probability (Need help with Geometric Series Part)

Published on 18 Apr 2026 - 22:25

score 36 · Answer 8 · 2026-04-13 00:20:15

36

Views

Existence of a constant in a convergent series.

Published on 13 Apr 2026 - 0:20

score 238 · Answer 9 · 2026-04-15 13:57:11

238

Views

Let $\{a_n\}$ be a decreasing sequence of positive real numbers converging to $0,$ then $\sum^{\infty}_{n=1}(-1)^{n}a_n$ converges

Published on 15 Apr 2026 - 13:57

score 188 · Answer 10 · 2026-05-16 03:28:36

188

Views

Limit of sequence exists but might be infinity

Published on 16 May 2026 - 3:28

score 57 · Answer 11 · 2026-05-15 03:33:22

57

Views

On the solution of a linear system of differential equations for the unknown series coefficients

Published on 15 May 2026 - 3:33

score 844 · Answer 12 · 2026-04-13 17:29:20

844

Views

Proving pointwise convergence of a sum

Published on 13 Apr 2026 - 17:29

score 142 · Answer 13 · 2026-04-16 00:32:17

142

Views

Prove or disprove: if $\{b_{n}\}$ is a convergent sequence and $c_{n} = n(b_{n} - b_{n-1})$, then $\{c_{n}\}$ is a bounded sequence.

Published on 16 Apr 2026 - 0:32

score 117 · Answer 14 · 2026-05-16 03:30:22

117

Views

Does this matrix sequence always converge?

Published on 16 May 2026 - 3:30

score 455 · Answer 15 · 2026-04-16 08:33:43

455

Views

Find sum of $\sum_{n=1}^{\infty}{\frac{2^{n+1}-8}{3^n}}$

Published on 16 Apr 2026 - 8:33

List Question

How can I determine general formula of this sequence?

Every convergent sequence $(x_n)$ is bounded in $(M,d)$

How can I find the limit of the following sequence $\frac{1}{2} . \frac {3}{4} ....... \frac {2n - 1}{2n} $?

If $f(x)=\sum^{\infty}_{n=0}a_n x^n$ converges for $x=50$, can $f$ be uniformly continuous over $[0,10]$?

General expression of finite, integer sequence, containing the ceiling function

Given $\{ x_n\}$ be a sequence of rational numbers such that $\lim_{n \to \infty}x_n=0$ then $\lim_{n \to \infty} a^{x_n}=1$

Expectation Probability (Need help with Geometric Series Part)

Existence of a constant in a convergent series.

Let $\{a_n\}$ be a decreasing sequence of positive real numbers converging to $0,$ then $\sum^{\infty}_{n=1}(-1)^{n}a_n$ converges

Limit of sequence exists but might be infinity

On the solution of a linear system of differential equations for the unknown series coefficients

Proving pointwise convergence of a sum

Prove or disprove: if $\{b_{n}\}$ is a convergent sequence and $c_{n} = n(b_{n} - b_{n-1})$, then $\{c_{n}\}$ is a bounded sequence.

Does this matrix sequence always converge?

Find sum of $\sum_{n=1}^{\infty}{\frac{2^{n+1}-8}{3^n}}$

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