A student graphs f(x)=sin(x1) using two calculator windows.
• Window A: −5≤x≤5, −1≤y≤1
• Window B: −0.1≤x≤0.1, −1≤y≤1
In Window A the curve appears nearly flat and seems to approach 0 as x→0. In Window B the curve oscillates between −1 and 1 with increasing frequency as x→0. Which statement best describes x→0limf(x)?
a) The limit does not exist because f is not defined at x=0.
b) The limit does not exist because f oscillates without approaching a single value near x=0.
c) The limit exists and equals 0.
d) The limit does not exist because the left-hand and right-hand limits are different.