Question

Prove that the limit $\lim \limits_{n \to \infty}\left(1 + \frac{1}{\sqrt[3]{n^3 - n^2}}\right)^n$ doesn't exist or find it

score 180 · Answer 1 · 2016-12-28 14:27:37

180

Views

Prove that the limit $\lim \limits_{n \to \infty}\left(1 + \frac{1}{\sqrt[3]{n^3 - n^2}}\right)^n$ doesn't exist or find it

Published on 28 Dec 2016 - 14:27

score 822 · Answer 2 · 2016-12-29 15:32:42

822

Views

Is this solution to a problem concerning the equation $a^2=(m^yn^x)^z$ where $m=a^x$ and $n=a^y$correct?

Published on 29 Dec 2016 - 15:32

score 174 · Answer 3 · 2026-03-26 02:46:46

174

Views

How is $e$ the only number $n$ for which $n^x > x^n$ is satisfied for all values of $x$?

Published on 26 Mar 2026 - 2:46

score 247 · Answer 4 · 2016-12-30 23:45:04

247

Views

Is $y={(-1)^{x\overπ}+(-1)^{-x\overπ}\over 2}$ the same as $y=\cos x$?

Published on 30 Dec 2016 - 23:45

score 279 · Answer 5 · 2026-04-09 05:30:02

279

Views

Does there exist an exponential function not vanishing at $-\infty?$

Published on 09 Apr 2026 - 5:30

score 307 · Answer 6 · 2026-04-12 21:54:16

307

Views

Simple limit. Used L'Hôpital's rule. Didn't work.

Published on 12 Apr 2026 - 21:54

score 114 · Answer 7 · 2026-04-12 19:33:38

114

Views

Is there an addition formula for $ f(z) = \exp(z) + \sin(z) $?

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score 849 · Answer 8 · 2026-04-12 02:52:10

849

Views

Application of the Dominated convergence theorem for series

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score 347 · Answer 9 · 2026-03-25 20:20:18

347

Views

Find all real solutions to the equation$4^x+6^{x^2}=5^x+5^{x^2}$

Published on 25 Mar 2026 - 20:20

score 51 · Answer 10 · 2026-04-13 05:26:29

51

Views

What property is being used?

Published on 13 Apr 2026 - 5:26

score 1k · Answer 11 · 2026-04-13 03:52:57

1k

Views

Solving First Order ODE using the integrating factor approach

Published on 13 Apr 2026 - 3:52

score 102 · Answer 12 · 2026-04-09 14:03:16

102

Views

How to solve definite integral

Published on 09 Apr 2026 - 14:03

score 161 · Answer 13 · 2026-04-01 01:02:16

161

Views

$e^x$ as a limit proof

Published on 01 Apr 2026 - 1:02

score 60 · Answer 14 · 2026-04-09 06:04:15

60

Views

Identity with Exponent as Sum of Powers

Published on 09 Apr 2026 - 6:04

score 138 · Answer 15 · 2017-01-06 07:16:42

138

Views

How to prove this series problem: $\sum_{r=1}^\infty \frac{(r+1)^2}{r!}=5e-1$?

Published on 06 Jan 2017 - 7:16

List Question

Prove that the limit $\lim \limits_{n \to \infty}\left(1 + \frac{1}{\sqrt[3]{n^3 - n^2}}\right)^n$ doesn't exist or find it

Is this solution to a problem concerning the equation $a^2=(m^yn^x)^z$ where $m=a^x$ and $n=a^y$correct?

How is $e$ the only number $n$ for which $n^x > x^n$ is satisfied for all values of $x$?

Is $y={(-1)^{x\overπ}+(-1)^{-x\overπ}\over 2}$ the same as $y=\cos x$?

Does there exist an exponential function not vanishing at $-\infty?$

Simple limit. Used L'Hôpital's rule. Didn't work.

Is there an addition formula for $ f(z) = \exp(z) + \sin(z) $?

Application of the Dominated convergence theorem for series

Find all real solutions to the equation$4^x+6^{x^2}=5^x+5^{x^2}$

What property is being used?

Solving First Order ODE using the integrating factor approach

How to solve definite integral

$e^x$ as a limit proof

Identity with Exponent as Sum of Powers

How to prove this series problem: $\sum_{r=1}^\infty \frac{(r+1)^2}{r!}=5e-1$?

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