JavaMan

 85 Examples of patterns that eventually fail 62 Which of the numbers $99^{100}$ and $100^{99}$ is the larger one? 52 What's the value of $\sum\limits_{k=1}^{\infty}\frac{k^2}{k!}$? 41 Find all irreducible monic polynomials in $\mathbb{Z}/(2)[x]$ with degree equal or less than 5 29 How to prove that exponential grows faster than polynomial?

### Reputation (11,232)

 +10 Proof that $\lim_{n\rightarrow \infty} \sqrt[n]{n}=1$ +10 Find all irreducible monic polynomials in $\mathbb{Z}/(2)[x]$ with degree equal or less than 5 -2 Find the last two digits of $12^{12^{12^{12}}}$ using Euler's theorem +10 How can I see alternative trigonometry solutions on a calculator?

### Questions (5)

 16 Uncountable sets of Hausdorff dimension zero 14 Irrationality of “primes coded in binary” 11 The set of rational numbers of the form p/p', where p and p' are prime, is dense in $[0, \infty)$ 6 Solving $x^2 \equiv 1 \pmod{p^{\ell}}$ 3 Sum of the eigenvalues of adjacency matrix

### Tags (143)

 206 calculus × 48 93 exponential-function × 5 130 real-analysis × 23 86 elementary-number-theory × 30 120 limits × 27 84 abstract-algebra × 8 116 sequences-and-series × 23 75 arithmetic × 3 111 inequality × 15 62 factorial × 3

### Accounts (3)

 Mathematics 11,232 rep 12855 MathOverflow 536 rep 68 TeX - LaTeX 220 rep 26