Consider p(x)=x2sin(100x). On the standard window −10≤x≤10, −10≤y≤10, the graph appears to lie almost on the x-axis near x=0. A tighter window of −0.1≤x≤0.1, −0.02≤y≤0.02 reveals rapid oscillations whose amplitude shrinks toward 0. What is x→0limp(x)?
a) 1
b) The limit does not exist because the function oscillates infinitely often.
c) 0
d) 0.02