QuestionFind the limit: $\lim _{x \rightarrow 2}[f(x)+5 g(x)]$ given $\lim _{x \rightarrow 2} f(x)=9$ and $\lim _{x \rightarrow 2} g(x)=-5$.

Studdy Solution
Perform the calculation to find the limit.
$$\lim{x \rightarrow2}[f(x)+ g(x)] =9 -25 = -16$$So, the limit of the expression $[f(x)+ g(x)]$ as $x$ approaches2 is -16.