# 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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