Question

If $h\left(z\right)=\{\begin{array}{cc}6z,& z\le -4\\ 1-9z,& z>-4\end{array}$, then the value of $\underset{z\to 7}{lim}h\left(z\right)=$

• A. $-24$
• B. $37$
• C. $42$
• D. $-62$

Answer 1

The correct option is D $-62$

$\because 7>-4$
Also,
$7^{+}>-4,7^{-}>-4$
This will allow us to use one part of the function.
Therefore,
$\underset{z\to 7}{lim}h\left(z\right)=\underset{z\to 7}{lim}(1-9z)=-62$