Chapter 14.3, Problem 28AYU

To determine

To find: Whether $f$ is continuous at $-6$.

Answer to Problem 28AYU

No.

Explanation of Solution

Given:

Calculation:

Since $\underset{x\to -6^{-}}{\lim }f\left(x\right)=+\infty$ and $\underset{x\to -6^{+}}{\lim }f\left(x\right)=-\infty$ and both left hand and right hand limits are not equal, we can say that the function $f$ is not continuous at $-6$.