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 13 No continuous function switches $\mathbb{Q}$ and the irrationals 12 How to show $\lim_{n \to \infty} a_n = \frac{ [x] + [2x] + [3x] + \dotsb + [nx] }{n^2} = x/2$? 11 How to calculate $\lim\limits_{x \to 0}\frac1{x} + \frac{\ln(1-x)}{x^2}$? 9 Example of two functions that are equal almost everywhere? 8 When does $az + b\bar{z} + c = 0$ represent a line?

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 +10 When does $az + b\bar{z} + c = 0$ represent a line? +10 Why are rings called rings? +10 No continuous function switches $\mathbb{Q}$ and the irrationals +5 Integration of powers of the $\sin x$

Questions (32)

 124 Why are rings called rings? 18 On the equality case of the Hölder and Minkowski inequalites 16 How can I compute the integral $\int_{0}^{\infty} \frac{dt}{1+t^4}$? 12 A kind of converse of Lagrange's Theorem 10 Integration of powers of the $\sin x$

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 112 real-analysis × 44 23 integration × 19 80 measure-theory × 36 20 functions × 5 38 analysis × 24 15 sequences-and-series × 4 33 limits × 6 13 complex-analysis × 6 31 calculus × 16 13 continuity × 2

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