Question

Limit $\lim_{n \to \infty}\frac{n!-\sin(2n)}{\sqrt{(n+1)!}-\ln(n^2+3n)}$

score 95 · Answer 1 · 2018-01-22 19:42:15

95

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Limit $\lim_{n \to \infty}\frac{n!-\sin(2n)}{\sqrt{(n+1)!}-\ln(n^2+3n)}$

Published on 22 Jan 2018 - 19:42

score 119 · Answer 2 · 2026-03-25 01:18:32

119

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Convergence radius of power series $\sum_{n=0}^\infty c_nz^n $ where $c_0 = 0$, $c_1 = 1$, $c_n =\frac{c_{n-1} + c_{n-2}}{2}$

Published on 25 Mar 2026 - 1:18

score 365 · Answer 3 · 2026-03-24 23:48:07

365

Views

Find an integer N that satisfies the limit of the sequence: $\lim_{n\rightarrow\infty} \sqrt{n^2 + n} - n$

Published on 24 Mar 2026 - 23:48

score 212 · Answer 4 · 2018-01-23 00:05:37

If $f:R\to R$ is bounded on bounded intervals, and $\lim f(x+1) - f(x) = L$ for $x\to +\infty$ then $\lim f(x)/x = L$ when $x\to +\infty$

score 193 · Answer 5 · 2026-04-09 11:57:08

193

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Is there a sense in which this limit is zero?

Published on 09 Apr 2026 - 11:57

score 799 · Answer 6 · 2026-03-24 20:33:26

799

Views

How can I calculate $\lim\limits_{x\rightarrow 0} \frac{(1+x)^{\frac{1}{x}}-e}{x}$?

Published on 24 Mar 2026 - 20:33

score 65 · Answer 7 · 2026-04-09 02:45:00

65

Views

Limit of $f(x) = x \bmod k$

Published on 09 Apr 2026 - 2:45

score 1.3k · Answer 8 · 2026-04-08 22:28:25

1.3k

Views

Trouble Understanding the Proof of the limit of Thomae's Function in $(0,1)$ is $0$

Published on 08 Apr 2026 - 22:28

score 155 · Answer 9 · 2026-03-26 09:17:51

155

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Special Case of Neoclassical Utility Function: $\lim_{\sigma \to 1} \frac{1-\sigma}{-c^{\sigma}} = \ln c?$

Published on 26 Mar 2026 - 9:17

score 99 · Answer 10 · 2026-04-03 15:59:36

99

Views

comptuting $ \lim\limits_{n\to\infty} \frac{3^{n}+\sqrt{n}}{n!+2^{(n+1)}}$

Published on 03 Apr 2026 - 15:59

score 214 · Answer 11 · 2026-04-09 01:49:39

214

Views

Trying to understand delta-epsilon interpretation of limits

Published on 09 Apr 2026 - 1:49

score 465 · Answer 12 · 2026-03-24 22:08:33

465

Views

Evaluate the limit containing $\arctan{x}$ and $\arcsin{x}$

Published on 24 Mar 2026 - 22:08

score 60 · Answer 13 · 2026-03-24 22:01:42

60

Views

Determine to which side of infinity the limit goes without looking at the graph

Published on 24 Mar 2026 - 22:01

score 103 · Answer 14 · 2026-04-09 00:05:18

103

Views

How to prove this delta-epsilon proof?

Published on 09 Apr 2026 - 0:05

score 407 · Answer 15 · 2026-04-09 03:39:10

407

Views

How to prove this delta-epsilon proof involving $x^2$?

Published on 09 Apr 2026 - 3:39

List Question

Limit $\lim_{n \to \infty}\frac{n!-\sin(2n)}{\sqrt{(n+1)!}-\ln(n^2+3n)}$

Convergence radius of power series $\sum_{n=0}^\infty c_nz^n $ where $c_0 = 0$, $c_1 = 1$, $c_n =\frac{c_{n-1} + c_{n-2}}{2}$

Find an integer N that satisfies the limit of the sequence: $\lim_{n\rightarrow\infty} \sqrt{n^2 + n} - n$

If $f:R\to R$ is bounded on bounded intervals, and $\lim f(x+1) - f(x) = L$ for $x\to +\infty$ then $\lim f(x)/x = L$ when $x\to +\infty$

Is there a sense in which this limit is zero?

How can I calculate $\lim\limits_{x\rightarrow 0} \frac{(1+x)^{\frac{1}{x}}-e}{x}$?

Limit of $f(x) = x \bmod k$

Trouble Understanding the Proof of the limit of Thomae's Function in $(0,1)$ is $0$

Special Case of Neoclassical Utility Function: $\lim_{\sigma \to 1} \frac{1-\sigma}{-c^{\sigma}} = \ln c?$

comptuting $ \lim\limits_{n\to\infty} \frac{3^{n}+\sqrt{n}}{n!+2^{(n+1)}}$

Trying to understand delta-epsilon interpretation of limits

Evaluate the limit containing $\arctan{x}$ and $\arcsin{x}$

Determine to which side of infinity the limit goes without looking at the graph

How to prove this delta-epsilon proof?

How to prove this delta-epsilon proof involving $x^2$?

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