18 When can a polynomial be written as a polynomial function of another polynomial? 14 What is wrong with this paper on arXiv which claims that the set of real numbers is countable? 12 Evaluate $\lim_{n\to \infty}n\int_2^e{(\ln x)^n}dx$ 10 compare $m=50^{50}$ with $n=49^{51}$ 10 What is the theme of analysis?

### Reputation (8,098)

 +15 Prove $\lim_{(x,y)\to(0,0)} \frac{xy^2}{x^2+y}$ +15 For periodic $f,g$ (and continuous), does $\lim (f-g) = 0$ imply $f=g$? +20 Function $f(x)f(\frac{xf(x)+4}{x})=1$ +10 What is the theme of analysis?

### Questions (4)

 46 Can a nowhere continuous function have a connected graph? 4 Simpler derivation of $\sum_{n=1}^\infty \frac{1}{n^2} = \frac{\pi^2}{6}$ [duplicate] 3 Integral with two symmetric matrices 1 A coordinate-independent formula for a potential of an exact 2-form

### Tags (208)

 87 real-analysis × 48 55 algebra-precalculus × 14 84 calculus × 45 39 complex-analysis × 26 80 limits × 28 35 analysis × 14 68 integration × 37 25 linear-algebra × 19 60 sequences-and-series × 34 24 polynomials × 6

### Bookmarks (2)

 5 Why are they called “first integrals”? 2 Find the value of $f''(0)$ to leading order