Floor Limit
Calculus
Level
3
Let \(g(n) = n - \left \lfloor \frac{n}{2} \right \rfloor+ \left \lfloor \frac{n}{3} \right \rfloor - \left \lfloor \frac{n}{4} \right \rfloor + \cdots.\)
Evaluate \( \displaystyle \lim_{n \to \infty}\frac{g(n)}{n}.\)
by
Danish Ahmed