Let
f(x)=1. x^2sin(1/x^2)+bcosx if x>0
0 if x=0
|x|/x+a(x/sqrtx^2) if x<0
evaluate lim x->0- f(x) and write lim x->0+ f(x) in terms of a and b;
if lim x->0 f(x) exists, find the relationship of a and b;
if lim x->0 f(x) =0,find the value of and b
