Precalculus (6th Edition) Blitzer

Published by Pearson
ISBN 10: 0-13446-914-3
ISBN 13: 978-0-13446-914-0

Chapter 11 - Review Exercises - Page 1179: 51


Discontinuous at $ x=11$

Work Step by Step

Recall that if $ f $ is a polynomial function, then we have $\lim_\limits{x\to a}f(x)=f(a)$. $\lim_\limits{x \to 11} f(x)= \lim_\limits{x \to 11} \dfrac{x^2-121}{x-11}= \lim_\limits{x \to 11} \dfrac{(x-11)(x+11)}{x-11}=22$ and $\lim_\limits{x \to11} f(x)=22 \ne 20 =f(11)$ so, $\lim_\limits{x \to 11} f(x) \ne 20$ Therefore, the function is discontinuous at $ x=11$
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