Question

Use asymptotic equality to solve limit of difference of functions

score 50 · Answer 1 · 2023-12-05 22:18:44

50

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Use asymptotic equality to solve limit of difference of functions

Published on 05 Dec 2023 - 22:18

score 101 · Answer 2 · 2026-03-27 16:24:36

101

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Approximating $\sqrt{x}$ by a rational function in the complex plane

Published on 27 Mar 2026 - 16:24

score 115 · Answer 3 · 2023-12-10 17:07:11

115

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Finding roots of the equation $\sqrt{x^2+2x-3}+\sqrt{x^2+7x-8}=\sqrt{5(x^2+3x-4)}$

Published on 10 Dec 2023 - 17:07

score 269 · Answer 4 · 2023-12-12 13:47:26

How to prove $\sqrt[3]{\frac{\frac{1}{a}+\frac{1}{b}+\frac{1}{c}}{3}}\ge \frac{\sqrt[3]{abc}+2}{\sqrt[3]{ab}+\sqrt[3]{bc}+\sqrt[3]{ac}}.$

score 84 · Answer 5 · 2023-12-12 14:12:21

84

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Dividing the square root of $x$ by $x$. Is $\frac{\sqrt{x}}{x}=\frac{1}{x}$ or $=\frac{1}{\sqrt{x}}$?

Published on 12 Dec 2023 - 14:12

score 229 · Answer 6 · 2026-03-29 05:27:22

229

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Can you prove that $\frac{f_n}{f_{n-1}}$ converges to $2\pi$ and $\frac{1}{2\pi}$ if $f_n=\frac{1}{f_{n-1}}+f_{n-2}$ where $f_0=0$ and $f_1=2$?

Published on 29 Mar 2026 - 5:27

score 93 · Answer 7 · 2026-04-01 16:03:34

93

Views

Is there another way of solving $\frac{\frac{\sqrt{a}}{\sqrt{2}}}{\frac{a}{2}}$. Without the method of multiplying by the inverse?

Published on 01 Apr 2026 - 16:03

score 42 · Answer 8 · 2026-03-29 10:14:38

42

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Is there any existing definition for unique simplest nested radical expression?

Published on 29 Mar 2026 - 10:14

score 129 · Answer 9 · 2026-03-29 10:08:53

129

Views

$h^2=(2\sqrt[3]{2})^2 - (\sqrt[3]{2})^2$. h should be equal to $\sqrt[6]{108}$ but I get $\sqrt[6]{4}$ as a result. Please help.

Published on 29 Mar 2026 - 10:08

score 47 · Answer 10 · 2023-12-21 11:04:29

47

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How is the principle root defined?

Published on 21 Dec 2023 - 11:04

score 61 · Answer 11 · 2026-02-23 12:01:20

61

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A limit with a product and number e

Published on 23 Feb 2026 - 12:01

score 68 · Answer 12 · 2026-03-31 19:12:09

68

Views

inverse function of series

Published on 31 Mar 2026 - 19:12

score 64 · Answer 13 · 2024-01-13 09:58:14

64

Views

How many different integer values can $m$ take?

Published on 13 Jan 2024 - 9:58

score 212 · Answer 14 · 2026-04-02 09:27:32

212

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Find $\lim\limits_{x \to 0} \frac{ \sqrt{1+x} - 1} { \sqrt[3]{1+x} - 1}$.

Published on 02 Apr 2026 - 9:27

score 53 · Answer 15 · 2026-03-25 23:37:41

53

Views

Considerations for branches of the square root on the complex plane: a down-to-earth approach

Published on 25 Mar 2026 - 23:37

List Question

Use asymptotic equality to solve limit of difference of functions

Approximating $\sqrt{x}$ by a rational function in the complex plane

Finding roots of the equation $\sqrt{x^2+2x-3}+\sqrt{x^2+7x-8}=\sqrt{5(x^2+3x-4)}$

How to prove $\sqrt[3]{\frac{\frac{1}{a}+\frac{1}{b}+\frac{1}{c}}{3}}\ge \frac{\sqrt[3]{abc}+2}{\sqrt[3]{ab}+\sqrt[3]{bc}+\sqrt[3]{ac}}.$

Dividing the square root of $x$ by $x$. Is $\frac{\sqrt{x}}{x}=\frac{1}{x}$ or $=\frac{1}{\sqrt{x}}$?

Can you prove that $\frac{f_n}{f_{n-1}}$ converges to $2\pi$ and $\frac{1}{2\pi}$ if $f_n=\frac{1}{f_{n-1}}+f_{n-2}$ where $f_0=0$ and $f_1=2$?

Is there another way of solving $\frac{\frac{\sqrt{a}}{\sqrt{2}}}{\frac{a}{2}}$. Without the method of multiplying by the inverse?

Is there any existing definition for unique simplest nested radical expression?

$h^2=(2\sqrt[3]{2})^2 - (\sqrt[3]{2})^2$. h should be equal to $\sqrt[6]{108}$ but I get $\sqrt[6]{4}$ as a result. Please help.

How is the principle root defined?

A limit with a product and number e

inverse function of series

How many different integer values can $m$ take?

Find $\lim\limits_{x \to 0} \frac{ \sqrt{1+x} - 1} { \sqrt[3]{1+x} - 1}$.

Considerations for branches of the square root on the complex plane: a down-to-earth approach

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