F(x)=x^2*sin1/x(x>0),ax+b(x0),ax+b(x

Question

F(x)=x^2*sin1/x(x>0),ax+b(x0),ax+b(x

Answer 1

1.连续
Lim(x->0+)x^2sin1/x=0
lim(x->0-)ax+b=b
所以
b=0
右导数=f'+(0)=lim(x->0+)[x^2*sin1/x]/x=lim(x->0+)[x*sin1/x]=0
左导数=a
即
a=0
所以
a=b=0