Let f(x)=1x∫0xcos(t2)dtf(x) = \frac{1}{x} \int_0^x \cos(t^2) dtf(x)=x1∫0xcos(t2)dt. How does this function behave at x=0x=0x=0?
Limit is 0
Limit is 1
Limit does not exist
Limit is ∞\infty∞