Suppose $f$ is a real-valued function and $f(x) \geq 1$ for every real $x \in [0,1]$.
Why we can always find a unique positive integer $n$ such that $2^{n} \leq f(x) < 2^{n+1}$ ?
Suppose $f$ is a real-valued function and $f(x) \geq 1$ for every real $x \in [0,1]$.
Why we can always find a unique positive integer $n$ such that $2^{n} \leq f(x) < 2^{n+1}$ ?