Question

anyone from Resonance sheet questions ​

Answer 1

sin pie[x])/{x} = 0 for all non integers as sin pie[x] = 0 because angle is multiple of pie

As there its not continous for every integer

so its periodic with period 1


Range = 0 So singleton

its even as it lies on x axis



sgn ( sgn {x}/√{x}) -1

sgn ( sgn √{x} ) -1

As sgn x= 1 for x>0

As √{x} >0

So sgn √{x} = 1

Sgn (1) -1

1 -1

0

So A,B,C,D