Rivers McForge

 10 If $\int f(x)dx =g(x)$ then $\int f^{-1}(x)dx$ is equal to 7 Are all complex functions onto? 6 How can I determine the radius of 4 identical circles inside an equilateral triangle $ABC$? 5 Prove that $\lim_{x\to\infty} 2^x\cdot \arcsin{\dfrac{1}{2^x}} = 1$ without L'Hopital 4 When does a polynomial $f(x)$ generate an arithmetic sequence for consecutive values of integer $x$?

### Reputation (3,167)

 +25 Getting from $\frac{x-4}{x-5}$ to $1+\frac{1}{x-5}$ +8 Two definitions of the injectivity radius +10 Infinite strictly decreasing sequence of ordinals +10 Probability Game Optimal Strategy

### Questions (16)

 22 The “co-small” topology on the naturals? 5 Generalized Collatz: divide out by $2$’s and $3$'s, otherwise $5n+1?$ 5 Convergence of Euler product implies convergence of Dirichlet series? 5 Coordinate proof that the sum of a triangle's angles is $180^\circ$? 4 Continuous functions from $\Bbb{N}$ to $\Bbb{N}$ in the “co-small” topology

### Tags (190)

 29 real-analysis × 22 15 sequences-and-series × 15 22 probability × 25 15 complex-analysis × 8 21 calculus × 14 14 solution-verification × 10 21 abstract-algebra × 10 11 probability-theory × 11 18 integration × 7 11 general-topology × 8

### Bookmarks (22)

 154 The Hole in One Pizza 33 Given a positive integer $t$ does there always exist a natural number $k$ such that $(k!)^2$ is a factor of $(2k-t)!$? 20 “A two-envelopes puzzle” 13 Interesting relation derived from the identity $\sin^2 x + \cos^2 x \equiv 1$ 6 Example of a Non-negative Martingale Satisfying Certain Conditions