if lim g(x) = 1, what is the value of lim x + g(x)? x→-7 x→-7

Answer:

-6

Explanation:

Step1: Apply limit - sum rule

$\lim_{x\rightarrow - 7}[x + g(x)]=\lim_{x\rightarrow - 7}x+\lim_{x\rightarrow - 7}g(x)$

Step2: Find $\lim_{x\rightarrow - 7}x$

$\lim_{x\rightarrow - 7}x=-7$

Step3: Substitute known values

Since $\lim_{x\rightarrow - 7}g(x) = 1$, then $\lim_{x\rightarrow - 7}x+\lim_{x\rightarrow - 7}g(x)=-7 + 1=-6$