Question

Limit $\lim (1+(a^{1/n}-1) / b)^n$

score 2.5k · Answer 1 · 2017-02-25 05:33:52

2.5k

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Limit $\lim (1+(a^{1/n}-1) / b)^n$

Published on 25 Feb 2017 - 5:33

score 204 · Answer 2 · 2017-02-25 09:10:50

204

Views

Limit $\lim \limits_{n \to \infty} \frac{\sqrt[n]{n}}{\sqrt n}$

Published on 25 Feb 2017 - 9:10

score 824 · Answer 3 · 2017-02-25 12:20:07

824

Views

Is there a process, similar to long division, to do nth roots where n is any positive integer?

Published on 25 Feb 2017 - 12:20

score 100 · Answer 4 · 2026-04-01 13:31:53

100

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limit : $\lim_{n\to \infty} (1+\frac{\sqrt[n]{a}-1}{b})^n=?$

Published on 01 Apr 2026 - 13:31

score 37 · Answer 5 · 2017-02-26 14:21:24

37

Views

Surface area and volume of a box? Answer must be in rational denominator

Published on 26 Feb 2017 - 14:21

score 453 · Answer 6 · 2017-02-27 05:01:57

453

Views

Taking an integral of an integrand consisting of different power radical functions

Published on 27 Feb 2017 - 5:01

score 98 · Answer 7 · 2017-02-27 19:46:13

98

Views

I am looking for solution of the following question?

Published on 27 Feb 2017 - 19:46

score 225 · Answer 8 · 2026-03-29 04:41:37

225

Views

Show that $\sqrt{2-\sqrt{3}}=\frac{1}{2}(\sqrt{6}-\sqrt{2})$

Published on 29 Mar 2026 - 4:41

score 181 · Answer 9 · 2026-04-01 02:05:48

181

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For $a,b,c<1$. Minimize $M=\frac{a^2\left(1-2b\right)}{b}+\frac{b^2\left(1-2c\right)}{c}+\frac{c^2\left(1-2a\right)}{a}$

Published on 01 Apr 2026 - 2:05

score 121 · Answer 10 · 2017-03-03 01:49:45

121

Views

Find another polynomial with the same roots as a polynomial with radical coefficients

Published on 03 Mar 2017 - 1:49

score 70 · Answer 11 · 2017-03-05 14:21:14

70

Views

What is going on here? $(-1<x^2<3 \Leftrightarrow -\sqrt{3} < x < \sqrt{3})$?

Published on 05 Mar 2017 - 14:21

score 301 · Answer 12 · 2026-03-29 06:30:18

301

Views

How to show that $\sqrt{3 - \sqrt{2}} \notin \mathbb{Q}(\sqrt{3 + \sqrt{2}})$

Published on 29 Mar 2026 - 6:30

score 83 · Answer 13 · 2026-03-29 12:32:11

83

Views

Evaluating integrals such as $\int x^5 \sqrt{x^3-2}dx$, making the radical "disapear" from the integrand

Published on 29 Mar 2026 - 12:32

score 69 · Answer 14 · 2026-04-01 13:47:52

69

Views

Prove: $\lim _{n\to \infty }\left(\sqrt[n]{\frac{n!}{n^n}}\right)=\frac{1}{e}$

Published on 01 Apr 2026 - 13:47

score 65 · Answer 15 · 2017-03-07 16:55:49

65

Views

Are Logarithmic primes and Root primes useless?

Published on 07 Mar 2017 - 16:55

List Question

Limit $\lim (1+(a^{1/n}-1) / b)^n$

Limit $\lim \limits_{n \to \infty} \frac{\sqrt[n]{n}}{\sqrt n}$

Is there a process, similar to long division, to do nth roots where n is any positive integer?

limit : $\lim_{n\to \infty} (1+\frac{\sqrt[n]{a}-1}{b})^n=?$

Surface area and volume of a box? Answer must be in rational denominator

Taking an integral of an integrand consisting of different power radical functions

I am looking for solution of the following question?

Show that $\sqrt{2-\sqrt{3}}=\frac{1}{2}(\sqrt{6}-\sqrt{2})$

For $a,b,c<1$. Minimize $M=\frac{a^2\left(1-2b\right)}{b}+\frac{b^2\left(1-2c\right)}{c}+\frac{c^2\left(1-2a\right)}{a}$

Find another polynomial with the same roots as a polynomial with radical coefficients

What is going on here? $(-1<x^2<3 \Leftrightarrow -\sqrt{3} < x < \sqrt{3})$?

How to show that $\sqrt{3 - \sqrt{2}} \notin \mathbb{Q}(\sqrt{3 + \sqrt{2}})$

Evaluating integrals such as $\int x^5 \sqrt{x^3-2}dx$, making the radical "disapear" from the integrand

Prove: $\lim _{n\to \infty }\left(\sqrt[n]{\frac{n!}{n^n}}\right)=\frac{1}{e}$

Are Logarithmic primes and Root primes useless?

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