Some tetration you got there

Calculus Level 4

f(x;n)=xx..xnumber of x’s = n \Large f(x;n) = \underbrace{ x^{x^{.^{.^x}}} }_{\text{number of } x \text{'s } =\ n }


A positive integer nn is randomly chosen between 1 and 10000 inclusive for the function described above.

If pp denotes the probability that limx0f(x;n)=1, \displaystyle \lim_{x \to 0} f(x;n) = 1, what is the value of 1000p? \left \lfloor 1000p \right \rfloor?

×

Problem Loading...

Note Loading...

Set Loading...