octatoan
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### Questions (33)

 9 Guides/tutorials to learn abstract algebra? 8 Why is $\sqrt{2\sqrt{2\sqrt{2\cdots}}} = 2$? 8 Is this a new expression for $e$? 5 Can this type of limit even be evaluated? 4 Unfamiliar notation in an AoPS paper

### Reputation (731)

 +5 Champernowne constant - summation and behavior of terms in continued fraction expansion +5 Limit of ratio of successive n-nacci numbers? +10 Number of length-n paths in a graph with a fixed start vertex +2 Random walks: number of crosses between $-\sqrt{x}$ and $\sqrt{x}$

 5 Solve $(x^2 + 5)^2 - 15(x^2 + 5) + 54 = 0$ 3 Evaluate $\int^{441}_0\frac{\pi\sin \pi \sqrt x}{\sqrt x} dx$ 3 How do people come up with difficult math Olympiad questions? 2 How to prove that $\lim\limits_{x\to0}\frac{\tan x}x=1$? 1 Help understanding example in Engel's *Problem Solving Strategies*

### Tags (48)

 6 algebra-precalculus × 5 2 limits × 5 5 polynomials × 2 2 trigonometry × 3 4 contest-math × 6 2 alternative-proof 3 soft-question × 3 2 derivatives 3 improper-integrals × 2 2 calculus

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