Science:Math Exam Resources/Courses/MATH110/December 2013/Question 01 (b)/Solution 1

False: The easiest way to see this is to come up with a function where the limit exists but the function is not defined there. For example $f(x)=\frac{4(x-1)}{x-1}$. The limit exists and is equal to $4$ but $1$ is not in the domain, so $f(1)$ is not defined. Hence the statement is false.