# Some tetration you got there

**Calculus**Level 4

A positive integer \(n\) is randomly chosen between 1 and 10000 inclusive for the function described above.

If \(p\) denotes the probability that \( \displaystyle \lim_{x \to 0} f(x;n) = 1, \) what is the value of \( \left \lfloor 1000p \right \rfloor \)?