CUSAT 2019 BTech Solved Paper

Which of the following statements are correct?
(i) If

lim

x→a

‌

f(x)−f(a)

x−a

exists, then f is differentiable at a
(ii) If f is continuous at a, then f is differentiable at a
(iii If limit of f at x=a exists, then f is differentiable at a )
(iv) If f is differentiable at a, then f is continuous at a