Question

Find $\lim_{n\rightarrow\infty} \frac{\log(2 + 3^{n})}{2n}$

score 211 · Answer 1 · 2026-03-29 11:13:35

211

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Find $\lim_{n\rightarrow\infty} \frac{\log(2 + 3^{n})}{2n}$

Published on 29 Mar 2026 - 11:13

score 108 · Answer 2 · 2026-03-24 22:01:57

108

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How to solve $\lim\limits_{x\to 3}\frac{1}{(9-x^2)^2}\left( \frac{9+x^2}{3x}-2\sin \frac{3π}{2}\sin\frac{πx}{2}\right)$ Without L'Hopital.

Published on 24 Mar 2026 - 22:01

score 43 · Answer 3 · 2018-01-27 17:34:50

43

Views

how can i prove that $x_n$ convergences?

Published on 27 Jan 2018 - 17:34

score 215 · Answer 4 · 2018-01-27 18:07:04

215

Views

Limit: $\lim_{x\to2} \frac{1}{x-2}\cdot \sin\left(\frac{x-2}{x+2}\right)$

Published on 27 Jan 2018 - 18:07

score 95 · Answer 5 · 2026-04-10 19:55:55

95

Views

Proving a limit through the delta-epsillon definition of a limit, discarding the delta upper bound

Published on 10 Apr 2026 - 19:55

score 609 · Answer 6 · 2026-04-11 03:27:55

609

Views

Complex Analysis - Limits

Published on 11 Apr 2026 - 3:27

score 2.2k · Answer 7 · 2026-03-24 22:14:07

2.2k

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Why is it $|f(x) - L| < \epsilon$ in the definition for a limit and not $0 < |f(x) - L| < \epsilon$?

Published on 24 Mar 2026 - 22:14

score 94 · Answer 8 · 2026-03-25 09:07:07

94

Views

Finding an example a pair of sequences converging to 0 but such that their quotient diverges

Published on 25 Mar 2026 - 9:07

score 55 · Answer 9 · 2026-04-09 03:02:05

55

Views

Trying to compute a limit for the Turán number

Published on 09 Apr 2026 - 3:02

score 10.1k · Answer 10 · 2026-04-10 16:24:11

10.1k

Views

Are functions considered continuous at endpoints?

Published on 10 Apr 2026 - 16:24

score 125 · Answer 11 · 2026-04-06 12:51:34

125

Views

Find infimum and supremum of $S=\left\{\frac{5mn-m-4n-1}{2mn-n+2m-1}\right\}$

Published on 06 Apr 2026 - 12:51

score 32 · Answer 12 · 2026-04-09 22:05:09

32

Views

Infinite indetermination

Published on 09 Apr 2026 - 22:05

score 73 · Answer 13 · 2026-03-25 01:27:56

73

Views

Asymptotic behavior of zeroes of $\ln(t)-t+n$

Published on 25 Mar 2026 - 1:27

score 421 · Answer 14 · 2026-04-10 02:38:44

421

Views

Finding the limit of a multivariable function

Published on 10 Apr 2026 - 2:38

score 35 · Answer 15 · 2026-04-11 03:27:49

35

Views

Limit of complex function is the same regardless of path taken.(Proof)

Published on 11 Apr 2026 - 3:27

List Question

Find $\lim_{n\rightarrow\infty} \frac{\log(2 + 3^{n})}{2n}$

How to solve $\lim\limits_{x\to 3}\frac{1}{(9-x^2)^2}\left( \frac{9+x^2}{3x}-2\sin \frac{3π}{2}\sin\frac{πx}{2}\right)$ Without L'Hopital.

how can i prove that $x_n$ convergences?

Limit: $\lim_{x\to2} \frac{1}{x-2}\cdot \sin\left(\frac{x-2}{x+2}\right)$

Proving a limit through the delta-epsillon definition of a limit, discarding the delta upper bound

Complex Analysis - Limits

Why is it $|f(x) - L| < \epsilon$ in the definition for a limit and not $0 < |f(x) - L| < \epsilon$?

Finding an example a pair of sequences converging to 0 but such that their quotient diverges

Trying to compute a limit for the Turán number

Are functions considered continuous at endpoints?

Find infimum and supremum of $S=\left\{\frac{5mn-m-4n-1}{2mn-n+2m-1}\right\}$

Infinite indetermination

Asymptotic behavior of zeroes of $\ln(t)-t+n$

Finding the limit of a multivariable function

Limit of complex function is the same regardless of path taken.(Proof)

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