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### Answers (56)

 22 What are some common proof strategies in mathematics? 21 Does every prime divide some Fibonacci number? 10 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 (2,571)

 +5 Example of an infinite sequence of irrational numbers converging to a rational number? +5 Limit of the sequence of regular n-gons. +5 Is $\lim\limits_{k\to\infty}\sum\limits_{n=k+1}^{2k}{\frac{1}{n}} = 0$? +10 Does every prime divide some Fibonacci number?

### Questions (22)

 34 Is $\lim\limits_{k\to\infty}\sum\limits_{n=k+1}^{2k}{\frac{1}{n}} = 0$? 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 (72)

 31 sequences-and-series × 9 22 reference-request × 4 27 proof-writing × 4 22 proof-strategy 24 big-list × 3 21 fibonacci-numbers × 2 24 soft-question × 2 21 modular-arithmetic × 2 23 elementary-number-theory × 3 21 prime-numbers

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