A not-so-hard problem

Geometry Level 4

Let \(f(x) = \log_{10} \left(\sin(\pi x) \cdot \sin(2 \pi x) \cdot \sin (3 \pi x) \cdots \sin(8 \pi x)\right)\). The intersection of the domain of \(f(x)\) with the interval \([0,1]\) is a union of \(n\) disjoint open intervals. What is \(n\)?

×

Problem Loading...

Note Loading...

Set Loading...