Final answer:
The limit is requested for a function as Δx approaches 0. There seems to be a typo in the function provided. If corrected, the limit of the function would simply be -8.
Step-by-step explanation:
The limit of the expression as Δx approaches 0 of the function -8(x+Δx)+8x/Δx is to be found. However, the function provided does not seem complete or clear as it's currently written, and there is potentially a typographical error present. If the function were to be (-8(x+Δx)+8x)/Δx, then we could simplify this to -8 - 8x/Δx + 8x/Δx. The terms involving x would cancel each other out, leaving us with the limit as Δx approaches 0 of -8, which is simply -8.