Question

$\lim_{n \to +\infty} n \cdot\cos^2\left(\frac{n \pi}{3}\right)$

score 64 · Answer 1 · 2018-12-03 22:20:38

64

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$\lim_{n \to +\infty} n \cdot\cos^2\left(\frac{n \pi}{3}\right)$

Published on 03 Dec 2018 - 22:20

score 286 · Answer 2 · 2018-12-04 04:08:24

286

Views

Determine $\lim_{n\to\infty} \left(\left(3\sqrt{n}\right)^{\frac{1}{2n}}\right)$

Published on 04 Dec 2018 - 4:08

score 341 · Answer 3 · 2026-03-26 13:00:56

341

Views

Show that $\lim_{n\to\infty}\frac{\log_an}{n} = 0$ for $0<a<1$

Published on 26 Mar 2026 - 13:00

score 87 · Answer 4 · 2018-12-05 15:46:55

87

Views

Proof verification for $\lim_{n\to\infty}\frac{a^n}{(1+a)(1+a^2)\cdots(1+a^n)}$

Published on 05 Dec 2018 - 15:46

score 1.3k · Answer 5 · 2026-03-25 21:49:34

1.3k

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Chain rule when applying L'Hopital's rule

Published on 25 Mar 2026 - 21:49

score 141 · Answer 6 · 2026-03-27 00:58:54

141

Views

Find limit $\lim\limits _{x\rightarrow \infty }\left(\sqrt{x^{4} +x^{2}\sqrt{x^{4} +1}} -\sqrt{2x^{4}}\right)$

Published on 27 Mar 2026 - 0:58

score 1.6k · Answer 7 · 2018-12-09 05:06:11

1.6k

Views

When Should I Use Taylor Series for Limits?

Published on 09 Dec 2018 - 5:06

score 72 · Answer 8 · 2018-12-09 18:45:11

72

Views

Finding a limit involving roots without derivatives

Published on 09 Dec 2018 - 18:45

score 165 · Answer 9 · 2018-12-10 21:05:43

165

Views

Limit of sequence $\lim \limits_{n \to \infty\ }(\ln n)^{1+\frac{(\ln(\ln n))^{2019}}{\ln n}}-\frac{\sqrt[2018]n}{\ln n}$

Published on 10 Dec 2018 - 21:05

score 145 · Answer 10 · 2018-12-11 15:53:10

145

Views

How do I compute $\lim_{x \to a}(a-x)\tan\left(\frac{πx}{2a}\right)$

Published on 11 Dec 2018 - 15:53

score 78 · Answer 11 · 2026-03-26 17:36:17

78

Views

Using Newton's method to find $M$, the unique positive zero of $x^2+x-1$

Published on 26 Mar 2026 - 17:36

score 146 · Answer 12 · 2018-12-14 20:43:11

146

Views

Determine whether $\sum_{n=1}^{\infty}\frac{n2^n}{n+3^n}$ converges.

Published on 14 Dec 2018 - 20:43

score 78 · Answer 13 · 2018-12-14 22:43:08

78

Views

$\displaystyle\lim_{p \rightarrow \infty} p h'(p) = 0$ for $h$ positive, decreasing, and log-convex

Published on 14 Dec 2018 - 22:43

score 217 · Answer 14 · 2018-12-16 12:04:39

217

Views

How to prove $\dfrac{d}{dx}e^x=e^x$?

Published on 16 Dec 2018 - 12:04

score 201 · Answer 15 · 2018-12-20 18:21:22

201

Views

How do I compute $\lim_{x \to 0}{(\sin(x) + 2^x)^\frac{\cos x}{\sin x}}$ without L'Hopital's rule?

Published on 20 Dec 2018 - 18:21

List Question

$\lim_{n \to +\infty} n \cdot\cos^2\left(\frac{n \pi}{3}\right)$

Determine $\lim_{n\to\infty} \left(\left(3\sqrt{n}\right)^{\frac{1}{2n}}\right)$

Show that $\lim_{n\to\infty}\frac{\log_an}{n} = 0$ for $0<a<1$

Proof verification for $\lim_{n\to\infty}\frac{a^n}{(1+a)(1+a^2)\cdots(1+a^n)}$

Chain rule when applying L'Hopital's rule

Find limit $\lim\limits _{x\rightarrow \infty }\left(\sqrt{x^{4} +x^{2}\sqrt{x^{4} +1}} -\sqrt{2x^{4}}\right)$

When Should I Use Taylor Series for Limits?

Finding a limit involving roots without derivatives

Limit of sequence $\lim \limits_{n \to \infty\ }(\ln n)^{1+\frac{(\ln(\ln n))^{2019}}{\ln n}}-\frac{\sqrt[2018]n}{\ln n}$

How do I compute $\lim_{x \to a}(a-x)\tan\left(\frac{πx}{2a}\right)$

Using Newton's method to find $M$, the unique positive zero of $x^2+x-1$

Determine whether $\sum_{n=1}^{\infty}\frac{n2^n}{n+3^n}$ converges.

$\displaystyle\lim_{p \rightarrow \infty} p h'(p) = 0$ for $h$ positive, decreasing, and log-convex

How to prove $\dfrac{d}{dx}e^x=e^x$?

How do I compute $\lim_{x \to 0}{(\sin(x) + 2^x)^\frac{\cos x}{\sin x}}$ without L'Hopital's rule?

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