Question

which of these must be true?
1. f is continuous at x=2
2. f is differentiable at x=2
3. f ' is continuous at x=2

a) 1 only
b) 2 only
c) 1 and 2
d) 1 and 3
e) 2 and 3

Answer 1

\[\lim_{h \rightarrow 0} f(2+h)-f(2)/h\]