A function f(x) = {(1 + x, x ≤ 2), (5 - x, x > 2) is
(A) Not continuous at x = 2
(B) Differentiable at x = 2
(C) Continuous but not differentiable at x = 2
(D) of these
Answer is (C) Continuous but not differentiable at x = 2
Hence, f is continuous at x = 2. Now,
Since, Rf′(x) ≠ L f′(x); therefore, f is not differentiable at x = 2
