Hovercouch
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 30 Mistaken counterexample to FLT; where's the mistake? 14 Prove that the union of countably many countable sets is countable. 11 Why is the integral of $dx$ equal to $x$? 3 What does $\frac{1}{n}$ converge to? 3 Prove: Dividing an odd number by 2 always produces a remainder of 1

### Reputation (1,086)

 +70 Prove that the union of countably many countable sets is countable. +10 Why is the integral of $dx$ equal to $x$? -2 Is the number $0.112358132134…$ rational or irrational? +10 How many critical points does the function $f (x) = |x^2 − x − 6|$ have on the interval $[−3, 1]$?

### Questions (2)

 30 Constructing $\mathbb N$ from the set of factorials 1 Are there any proofs that use $0/0$ is indeterminate?

### Tags (23)

 30 number-theory × 2 5 discrete-mathematics × 3 14 elementary-set-theory × 2 5 induction × 2 14 logic 3 real-analysis × 5 11 integration × 3 3 sequences-and-series × 4 11 differential 3 calculus × 3

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