Define f:[-2,2]---->R by
, x belongs to irrationals.
Suppose P is a partition of [1,2].
i) Show that L(f,P)=0
f has infimum zero in any subinteral. Therefore L(f,P)=0 for any partition P.
ii) How do i show
do we just say f has supremum greater than 1 in any subinterval. Therefore for any partion P.
iii) does exist?
Thank for any help.