23. If \( g \) is differentiable at \( x = c \), which of the following must be true?
I. \( g \) is continuous at \( x = c \). II. \( \lim\limits_{x \to c} g(x) \) exists. III. \( \lim\limits_{x \to c} \frac{g(x) - g(c)}{x - c} \) exists.
Answer is: option4
Solution:
.
