List questions from fractions

Published on 10 May 2026 - 15:40

339

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Simplify fraction in numerator when fraction is part of sum

Published on 10 Apr 2026 - 5:41

144

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Prove that $\frac{1}{n}+\frac{1}{n+1}+\frac{1}{n+2}+....+\frac{1}{2n}\geq \frac{2}{3}$

Published on 10 May 2026 - 12:55

137

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Show the following inequality.

Published on 10 May 2026 - 13:41

177

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How do I find the position of the minute hand in a broken clock after some time k?

Published on 12 Apr 2026 - 16:21

60

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U-substitution of 2x in trigonometric substitution

Published on 10 May 2026 - 15:55

395

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limits as x goes to negative infinity

Published on 10 May 2026 - 14:50

217

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Sum of the series $\csc^{-1} \sqrt{10}+ \csc^{-1} \sqrt{50}+\csc^{-1}\sqrt{170}...$

Published on 10 May 2026 - 13:14

279

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How to calculate the value of $\sum\limits_{k=0}^{\infty}\frac{1}{(3k+1)\cdot(3k+2)\cdot(3k+3)}$?

Published on 15 Apr 2026 - 19:32

492

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Proving that $\frac {1}{3x^2+1}+\frac {1}{3y^2+1}+\frac {1}{3z^2+1}\geq \frac {3}{16 } $

Published on 10 May 2026 - 14:19

113

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Find $a, b \in \mathbb{N} $ such that $\frac{1}{a}+\frac{1}{b} +\frac{1}{(a,b)}+\frac{1}{[a,b]}=\frac{1}{2}$

Published on 10 May 2026 - 13:51

87

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Proving $ \frac {(a+b)^2 }{\sqrt{(a+b)^2 +1}} < 2 \left( \frac {a^2 }{\sqrt{ a^2 +1}} + \frac{b^2 } {\sqrt{ b^2 +1 }} \right) $

Published on 10 May 2026 - 18:27

109

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Partializing fraction with 4th power for integration

Published on 10 Apr 2026 - 23:44

548

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Determine if $\sum_{n=1}^\infty \frac{n^2}{n^3+3} $ converges or diverges

Published on 16 Apr 2026 - 20:47

403

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Secant and Tangent identity

Published on 11 Apr 2026 - 1:22

List Question

Solving without squaring

Simplify fraction in numerator when fraction is part of sum

Prove that $\frac{1}{n}+\frac{1}{n+1}+\frac{1}{n+2}+....+\frac{1}{2n}\geq \frac{2}{3}$

Show the following inequality.

How do I find the position of the minute hand in a broken clock after some time k?

U-substitution of 2x in trigonometric substitution

limits as x goes to negative infinity

Sum of the series $\csc^{-1} \sqrt{10}+ \csc^{-1} \sqrt{50}+\csc^{-1}\sqrt{170}...$

How to calculate the value of $\sum\limits_{k=0}^{\infty}\frac{1}{(3k+1)\cdot(3k+2)\cdot(3k+3)}$?

Proving that $\frac {1}{3x^2+1}+\frac {1}{3y^2+1}+\frac {1}{3z^2+1}\geq \frac {3}{16 } $

Find $a, b \in \mathbb{N} $ such that $\frac{1}{a}+\frac{1}{b} +\frac{1}{(a,b)}+\frac{1}{[a,b]}=\frac{1}{2}$

Proving $ \frac {(a+b)^2 }{\sqrt{(a+b)^2 +1}} < 2 \left( \frac {a^2 }{\sqrt{ a^2 +1}} + \frac{b^2 } {\sqrt{ b^2 +1 }} \right) $

Partializing fraction with 4th power for integration

Determine if $\sum_{n=1}^\infty \frac{n^2}{n^3+3} $ converges or diverges

Secant and Tangent identity

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