### Questions (57)

 27 Is the proof of Pythagorean theorem using dot (inner) product circular? 12 How to show $\int_0^\infty\frac1{(1+x^2)(1+x^p)}$ doesn't depend on $p$? 7 Is $\lim\limits_{n\to\infty}\Bigl(\frac{2+\sin n}{3}\Bigr)^n =0$; $n \in \mathbb{N}$? 5 Why does fundamental theorem of calculus not work for this integral $\int_0^{2\pi}\frac{dx}{(3+\cos x)(2+\cos x)}$? 4 $\int_0^1f(x) dx =0$, $\int_0^1xf(x) dx =0$. How to show that f has at least two zeros?

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 2 Why did this integral return $0 = 0$ when applying $2$ Pythagorean identities instead of $1$? 2 Determine for what values of x the series converges.8.4.7 Petrovic 2 Can a number be non-imaginary and non-real? 1 Apostol Calculus: Difficulty getting listed answer 1 How to prove that adding $n$ to the numerator and denominator will move the resultant fraction close to $1$?

### Tags (65)

 5 calculus × 26 2 number-theory × 2 2 real-analysis × 20 2 complex-numbers × 2 2 integration × 12 2 convergence-divergence × 2 2 limits × 11 1 inequality × 3 2 sequences-and-series × 8 1 fractions × 2

### Bookmarks (165)

 1464 Visually stunning math concepts which are easy to explain 1048 How long will it take Marie to saw another board into 3 pieces? 823 The staircase paradox, or why $\pi\ne4$ 663 What was the first bit of mathematics that made you realize that math is beautiful? (For children's book) [closed] 599 Why can you turn clothing right-side-out?