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### Questions (6)

 13 How to prove that $\lim\limits_{n \to \infty} \frac{k^n}{n!} = 0$ 4 Find $n$ where $n^n$ has $n$ digits 1 $\sqrt{x+1}+\sqrt{y+1}$ and $\sqrt{x-1}+\sqrt{y-1}$ are non-consecutive integers 0 Prove that the elements of these two sequences are not null 0 Prove problem reduces to 0-1 knapsack problem

### Reputation (146)

 +25 How to prove that $\lim\limits_{n \to \infty} \frac{k^n}{n!} = 0$ +20 Calculating the area +25 Finding the $g'$ of 2 functions +5 Find $n$ where $n^n$ has $n$ digits

 2 Calculating the area 1 Finding the $g'$ of 2 functions

### Tags (14)

 3 calculus × 2 0 recurrence-relations 2 algebra-precalculus × 2 0 sequences-and-series 2 integration 0 dynamic-programming 2 definite-integrals 0 exponentiation 0 proof-strategy × 2 0 factorial

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