A.Let be the function defined on the reals by f(x)= x sin(1/x)… 1 answer below »


A.Let be the discharge defined on the reals by f(x)= x sin(1/x) if x is irrational;f(x)=0 if x is sensible. (i)Prove that f is normal at 0.(ii) Prove that f is disnormal at 1. (iii) Is f normal or not at 1/pi? Prove your response.