List questions from fractions

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Using trigonometric identities to prove following series...

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find the limits $\lim_{x\to \infty} \lfloor f(x) \rfloor=? $

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Simple fraction question $\frac{5}{x+5}$?

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$\frac{a}{1+b^2c}+\frac{b}{1+c^2d}+\frac{c}{1+d^2a}+\frac{d}{1+a^2b}\geq 2$

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Common denominator example

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sum $\displaystyle \sum _{n=2}^{\infty}\frac{(-1)^n}{n^2+n-2}$

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Why is the decimal representation of $\frac17$ "cyclical"?

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Best way to exactly solve a linear system (300x300) with integer coefficients

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How to simplify $\frac{\sqrt{4+h}-2}{h}$

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Upper bound/exact length of decimal expansion of simple fraction

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Help for this equation

Using trigonometric identities to prove following series...

find the limits $\lim_{x\to \infty} \lfloor f(x) \rfloor=? $

Simple fraction question $\frac{5}{x+5}$?

$\frac{a}{1+b^2c}+\frac{b}{1+c^2d}+\frac{c}{1+d^2a}+\frac{d}{1+a^2b}\geq 2$

Common denominator example

sum $\displaystyle \sum _{n=2}^{\infty}\frac{(-1)^n}{n^2+n-2}$

Why is the decimal representation of $\frac17$ "cyclical"?

Rationalising the denominator: $\frac{11}{3\sqrt{3}+7}$

How to solve this rational equation for y

Computing a rational number between two others, minimizing numerator and denominator

Ratios make me feel like an idiot - help me mix up some Coca-Cola

Best way to exactly solve a linear system (300x300) with integer coefficients

How to simplify $\frac{\sqrt{4+h}-2}{h}$

Upper bound/exact length of decimal expansion of simple fraction

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