hey I got this question:

Question

lim x sin1/x=0

x->0

____________

answer

-1<=sin(1/x)<=1

-x<=xsin(1/x)<=x

lim -x = 0

x->0

lim x=0

x->0

-->lim x sin(1/x)=0 //MY answer

x->0

__________________

I just want to know if my working and answer is correct!tnx