Question

step 4
simplify.
m = lim_(δx→0) (18 - 16 - 8δx-(δx)^2 - 2)/δx
= lim_(δx→0) (δx( - δx))/δx
= lim_(δx→0) ( - δx)
=

Explanation:

Step1: Simplify numerator constants

$18 - 16 - 2 = 0$

Step2: Rewrite numerator

$-8\Delta x - (\Delta x)^2$

Step3: Factor numerator

$\Delta x(-8 - \Delta x)$

Step4: Cancel $\Delta x$

$\lim\limits_{\Delta x \to 0} (-8 - \Delta x)$

Step5: Evaluate limit

$-8 - 0 = -8$

Answer:

$-8$