Which of the Following Statements Are True?
A $\lim f ( x )$

Multiple Choice

Which of the following statements are true?
A. If $\lim f ( x )$ exists, then $f$ is continuous at $x = c$ .
B. If $f ( 2 ) = - 3$ , and $f ( 6 ) = - 8$ , then there must be a value $c$ at which $f ( c ) = - 5$ .
C. If $f$ is continuous on the closed interval [1, 4], then $f$ is continuous at every point in [1,4].
D. If $f$ is continuous on the interval $( 1,4 )$ , then $f$ must have a maximum value and a minimum value on $( 1,4 )$ .

A) A and C are true.
B) A, C, and D are true.
C) C and D are true.
D) Only C is true.