The function f, given by \(f(x)={\left\{ \begin{array}{rcl} {sin\ x^2\over x}, & \mbox{x ≠ 0} \\ 0, & x=0 \\ \end{array}\right.}\) is
1
continuous and differentiable at x = 0
2
neither continuous nor derivable at x = 0
3
continuous but not derivable at x = 0
4
limit does not exist