Function approaching... something

Calculus Level 3

Let \(p\) be a function where for any positive \(x\), \(p(x)\) is \(\frac{x}{7}\) rounded up to the nearest whole number. Evaluate:

\(\lim_{n \to \infty}p^{n}(x)\)

Where \(x\) and \(n\) are both ANY positive number.

Details and Assumptions

  • \(p^{n}\) means \(p\) composed \(n\) times, or \(p(p(p(p(...x)\)
×

Problem Loading...

Note Loading...

Set Loading...