anthus
Reputation
2,754
Next privilege 3,000 Rep.
1 10 31
Impact
~87k people reached

 23 What are some common proof strategies in mathematics? 21 Does every prime divide some Fibonacci number? 11 how can one solve for $x$, $x =\sqrt{2+\sqrt{2+\sqrt{2\cdots }}}$ 10 What are some applications of Mathematics to the medical field? 8 What is the product of the empty set?

### Reputation (2,754)

 +10 how can one solve for $x$, $x =\sqrt{2+\sqrt{2+\sqrt{2\cdots }}}$ +15 The limit of truncated sums of harmonic series, $\lim\limits_{k\to\infty}\sum_{n=k+1}^{2k}{\frac{1}{n}}$ +20 What is a x-simple and y-simple region? +10 What are some common proof strategies in mathematics?

### Questions (26)

 41 The limit of truncated sums of harmonic series, $\lim\limits_{k\to\infty}\sum_{n=k+1}^{2k}{\frac{1}{n}}$ 13 Evaluate the determinant $\det\left[ \binom{2n}{n+i-j} \right]_{i,j=0}^{n-1}$ 13 Example of an infinite sequence of irrational numbers converging to a rational number? 9 Find $\lim\limits_{n\to\infty}\sum\limits_{i=1}^{n}{\frac{2n}{(n+2i)^2}}$ 8 What is known about the quotient group $\mathbb{R} / \mathbb{Q}$?

### Tags (80)

 32 sequences-and-series × 9 23 elementary-number-theory × 3 28 proof-writing × 4 21 fibonacci-numbers × 2 25 big-list × 3 21 modular-arithmetic × 2 25 soft-question × 2 21 prime-numbers 23 reference-request × 4 17 algebra-precalculus × 4

### Accounts (9)

 Mathematics 2,754 rep 11031 Physics 165 rep 8 Stack Overflow 123 rep 3 Theoretical Computer Science 101 rep 1 MathOverflow 101 rep 13