Limit inspiration

Calculus Level pending

Moderator's edit:

Let \(f_1 (x) = x \) and \(f_{n+1} = x^{f_n (x)} \) for \(n = 1,2,3,\ldots \). Compute \( \displaystyle \lim_{x\to0} \lim_{n\to\infty} f_n (x) \).


\(\lim _{ x\rightarrow 0 }{ { x }^{ { x }^{ { x }^{ { x }^{ { x }^{ x } } } } } } \) The function is upto infinity.

×

Problem Loading...

Note Loading...

Set Loading...