Chapter 13 - A Preview of Calculus: The Limit, Derivative, and Integral of a Function - Section 13.2 Algebra Techniques for Finding Limits - 13.2 Assess Your Understanding - Page 902: 5

False

We know that $\lim\limits_{x \to a} k(x)=k(a)$, where $a$ as a constant, for continuous functions. We know that a rational function may not be continuous at the limit $5$. For example, consider: $\lim\limits_{x \to 5} f(x)=\lim\limits_{x \to 5} \dfrac{1}{x-5}= \ Undefined$ So, the statement is $\bf{False}$ .