Question

Need help with a limit to infinity involving a radical with indeterminate form (stuck in the factoring)

score 353 · Answer 1 · 2026-03-27 00:05:13

353

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Need help with a limit to infinity involving a radical with indeterminate form (stuck in the factoring)

Published on 27 Mar 2026 - 0:05

score 71 · Answer 2 · 2015-02-12 10:32:51

71

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Prove that $ exp_{a}(\frac{p}{q}) = \sqrt[q]{a^{p}} \space \forall \space p,q \in \mathbb{Z} $

Published on 12 Feb 2015 - 10:32

score 60 · Answer 3 · 2015-02-13 04:00:24

60

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Existence of $\sqrt [n] {a}$ with $a\geq 0$

Published on 13 Feb 2015 - 4:00

score 100 · Answer 4 · 2026-04-01 22:41:47

100

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Proving $\lim _{x\to \infty }\left(\frac{\sqrt{x+1}-\sqrt{x-2}}{\sqrt{x+2}-\sqrt{x-3}}\right) = \frac35$

Published on 01 Apr 2026 - 22:41

score 90 · Answer 5 · 2026-03-27 03:00:04

90

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$n$th root of a polynomial

Published on 27 Mar 2026 - 3:00

score 167 · Answer 6 · 2015-02-16 18:11:41

167

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Complete ring and unique continuous homomorphism

Published on 16 Feb 2015 - 18:11

score 508 · Answer 7 · 2015-02-16 22:15:42

508

Views

Linear independence of $\sqrt{2}$, $\sqrt[3]{2}$, $\sqrt[4]{2}, \dots$ over the rationals

Published on 16 Feb 2015 - 22:15

score 84 · Answer 8 · 2015-02-18 16:31:58

84

Views

Indefinite integral $\int \frac{1}{x\sqrt{x+1}}dx$

Published on 18 Feb 2015 - 16:31

score 1.6k · Answer 9 · 2015-02-19 08:30:06

1.6k

Views

What happens when square root is performed in inequalities?

Published on 19 Feb 2015 - 8:30

score 4.1k · Answer 10 · 2026-04-02 20:11:03

4.1k

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Inequality from Chapter 5 of the book How to Think Like a Mathematician

Published on 02 Apr 2026 - 20:11

score 452 · Answer 11 · 2026-03-26 12:57:57

452

Views

Is $\frac{\sqrt7}{\sqrt[3]{15}}$ rational or irrational?

Published on 26 Mar 2026 - 12:57

score 308 · Answer 12 · 2015-02-27 01:27:07

308

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Is $\sqrt{x^2} = x$?

Published on 27 Feb 2015 - 1:27

score 1.3k · Answer 13 · 2026-03-29 11:44:14

1.3k

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Simplification of $\sqrt{14} - \sqrt{16 - 4 \sqrt{7}}$

Published on 29 Mar 2026 - 11:44

score 40 · Answer 14 · 2015-02-27 09:51:31

40

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Calculating expressions to the power of two with radicals

Published on 27 Feb 2015 - 9:51

score 148 · Answer 15 · 2015-03-02 17:01:03

148

Views

Problem on limits $\lim_{n \to \infty} \frac{\sqrt{1}+\sqrt{2}+\sqrt{3}+\sqrt{4}+...+\sqrt{n}}{n\sqrt{n}}$

Published on 02 Mar 2015 - 17:01

List Question

Need help with a limit to infinity involving a radical with indeterminate form (stuck in the factoring)

Prove that $ exp_{a}(\frac{p}{q}) = \sqrt[q]{a^{p}} \space \forall \space p,q \in \mathbb{Z} $

Existence of $\sqrt [n] {a}$ with $a\geq 0$

Proving $\lim _{x\to \infty }\left(\frac{\sqrt{x+1}-\sqrt{x-2}}{\sqrt{x+2}-\sqrt{x-3}}\right) = \frac35$

$n$th root of a polynomial

Complete ring and unique continuous homomorphism

Linear independence of $\sqrt{2}$, $\sqrt[3]{2}$, $\sqrt[4]{2}, \dots$ over the rationals

Indefinite integral $\int \frac{1}{x\sqrt{x+1}}dx$

What happens when square root is performed in inequalities?

Inequality from Chapter 5 of the book How to Think Like a Mathematician

Is $\frac{\sqrt7}{\sqrt[3]{15}}$ rational or irrational?

Is $\sqrt{x^2} = x$?

Simplification of $\sqrt{14} - \sqrt{16 - 4 \sqrt{7}}$

Calculating expressions to the power of two with radicals

Problem on limits $\lim_{n \to \infty} \frac{\sqrt{1}+\sqrt{2}+\sqrt{3}+\sqrt{4}+...+\sqrt{n}}{n\sqrt{n}}$

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