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### Questions (32)

 13 Finding the convergence interval of $\sum\limits_{n=0}^{\infty} \frac{n!x^n}{n^n}$. 12 In axiomatization of propositional logic, why can uniform substitution be applied only to axioms? 11 Determine whether $\lim_{(x,y)\to (2,-2)} \dfrac{\sin(x+y)}{x+y}$ exists. 6 Find a big-O estimate for $f(n)=2f(\sqrt{n})+\log n$ 6 Adapted Towers of Hanoi from Concrete Mathematics - number of arrangements

### Reputation (1,056)

 +10 Proving the non-existence of a limit +10 Adapted Towers of Hanoi from Concrete Mathematics - number of arrangements +5 Proof of the theorem about term-wise differentiation of power series +5 Determine whether $\sum_{n=1}^{+\infty}c_n$ for a given $c_n$ is divergent or convergent

 9 Proving the non-existence of a limit 5 Backwards induction to show that $x_1\cdots x_n \leq ((x_1+\cdots+x_n)/n )^n$ 5 Towers of Hanoi - are there configurations of $n$ disks that are more than $2^n - 1$ moves apart? 2 Ulam's problem - guessing a chosen number in a set 2 Combinatorics - pigeonhole principle question

### Tags (36)

 15 discrete-mathematics × 19 7 recursive-algorithms × 7 10 calculus × 11 5 induction × 3 9 limits × 3 2 probability × 5 8 algorithms × 11 2 pigeonhole-principle × 2 7 recurrence-relations × 9 2 combinatorics × 2

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 Mathematics 1,056 rep 1728 Stack Overflow 240 rep 18 Electrical Engineering 138 rep 5 Meta Stack Exchange 101 rep Computer Science 101 rep 1