Question

Number of points if discontinuity of [6sinx] x belongs to [o,pi] and [.] denotes greatest integer function

Answer 1

On \(0\le x\le\pi\) we find \(0\le\sin x\le 1\) and thus \(0\le6\sin x\le6\)

Answer 2

Cant understand

Answer 3

Ok clr

Answer 4

Nxt¿

Answer 5

Note that our function is essentially identical apart from reversal on \([0,\pi/2],[\pi/2,\pi]\). On each we see a monotone progression from \(0\) to \(6\) (and vice versa) and thus \(5+1+5=11\) total discontinuities