Science:Math Exam Resources/Courses/MATH104/December 2013/Question 01 (l)/Statement

If $\underset{x\to a}{\lim }f(x)=L$, where $L$ is a real number, which of the following must be true?

(A) $f^{\prime }(a)$ exists.

(B) $f(x)$ is continuous at $x=a.$

(C) $f(x)$ is defined at $x=a.$

(D) $f(a)=L.$

(E) None of the above.