Mathematics · JEE | CONTINUITY AND DIFFERENTIABILITY

Consider the following statements regarding continuity and differentiability: (A) Every polynomial function is continuous everywhere. (B) Every differentiable function is continuous. (C) The converse of the statement 'Every differentiable function is continuous' is always true. (D) The sum of two continuous functions is a continuous function. Which of the above statements are correct?

1. A
   (A), (B) and (D) only
2. B
   and (C) only
3. C
   (B), (C) and (D) only
4. D
   (A), (B), (C) and (D)