Question

Proof that all proper fractions can be decomposed into a sum of reciprocals.

score 994 · Answer 1 · 2017-09-20 00:36:07

994

Views

Proof that all proper fractions can be decomposed into a sum of reciprocals.

Published on 20 Sep 2017 - 0:36

score 52 · Answer 2 · 2017-09-20 14:31:50

52

Views

Tricky operation involving complex numbers

Published on 20 Sep 2017 - 14:31

score 132 · Answer 3 · 2026-04-06 12:57:58

132

Views

Is there a method to calculate a dyadic fraction for given irrational number with least error?

Published on 06 Apr 2026 - 12:57

score 99 · Answer 4 · 2017-09-21 04:03:12

99

Views

Simplify and find the domain

Published on 21 Sep 2017 - 4:03

score 67 · Answer 5 · 2026-04-04 21:02:46

67

Views

What is the co-efficient of $x^2$ in the expansion of $(x+\frac{1}{x^2})^{20}$?

Published on 04 Apr 2026 - 21:02

score 91 · Answer 6 · 2026-03-25 17:36:25

91

Views

An inequality in four variables

Published on 25 Mar 2026 - 17:36

score 122 · Answer 7 · 2026-03-31 07:18:04

122

Views

If $x,y,z$ are positive numbers, then prove that $\frac {x}{x+y} + \frac{y}{y+z} +\frac {z}{z+x} \le 2$

Published on 31 Mar 2026 - 7:18

score 320 · Answer 8 · 2017-09-25 16:16:26

320

Views

Sum on simultaneous equation

Published on 25 Sep 2017 - 16:16

score 172 · Answer 9 · 2026-03-26 19:20:14

172

Views

$\frac{a^3}{b^2} + \frac{b^3}{c^2} + \frac{c^3}{a^2} \geq 3 \, \frac{a^2 + b^2 + c^2}{a + b + c}$

Published on 26 Mar 2026 - 19:20

score 1.4k · Answer 10 · 2017-09-27 02:10:22

1.4k

Views

Find domain of the quotient of two square root functions

Published on 27 Sep 2017 - 2:10

score 1.7k · Answer 11 · 2017-09-28 09:38:38

1.7k

Views

In partial fractions, why must the degree of the numerator be lower than the denominator?

Published on 28 Sep 2017 - 9:38

score 39 · Answer 12 · 2017-09-28 10:20:35

39

Views

Simplifying Fractions With A Variable

Published on 28 Sep 2017 - 10:20

score 353 · Answer 13 · 2017-09-29 06:07:16

353

Views

Prove $\frac{n-1}{n}+\frac{n-1}{n}\frac{n-3}{n-2}+ \frac{n-1}{n}\frac{n-3}{n-2}\frac{n-5}{n-4} + ... = \frac{n-1}{3}$ without induction

Published on 29 Sep 2017 - 6:07

score 135 · Answer 14 · 2017-09-30 06:28:04

135

Views

What is the recommended method to simplify trigonometric expressions like $\frac{\sin\alpha-\sin\beta}{\cos\alpha-\cos\beta}$?

Published on 30 Sep 2017 - 6:28

score 199 · Answer 15 · 2026-03-31 07:15:02

199

Views

If we know range of a function , how can construct range of other function?

Published on 31 Mar 2026 - 7:15

List Question

Proof that all proper fractions can be decomposed into a sum of reciprocals.

Tricky operation involving complex numbers

Is there a method to calculate a dyadic fraction for given irrational number with least error?

Simplify and find the domain

What is the co-efficient of $x^2$ in the expansion of $(x+\frac{1}{x^2})^{20}$?

An inequality in four variables

If $x,y,z$ are positive numbers, then prove that $\frac {x}{x+y} + \frac{y}{y+z} +\frac {z}{z+x} \le 2$

Sum on simultaneous equation

$\frac{a^3}{b^2} + \frac{b^3}{c^2} + \frac{c^3}{a^2} \geq 3 \, \frac{a^2 + b^2 + c^2}{a + b + c}$

Find domain of the quotient of two square root functions

In partial fractions, why must the degree of the numerator be lower than the denominator?

Simplifying Fractions With A Variable

Prove $\frac{n-1}{n}+\frac{n-1}{n}\frac{n-3}{n-2}+ \frac{n-1}{n}\frac{n-3}{n-2}\frac{n-5}{n-4} + ... = \frac{n-1}{3}$ without induction

What is the recommended method to simplify trigonometric expressions like $\frac{\sin\alpha-\sin\beta}{\cos\alpha-\cos\beta}$?

If we know range of a function , how can construct range of other function?

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