QuestionFind $\lim _{x \rightarrow 2}(h(x)(5 f(x)+g(x)))$ given $f(2)=3$, $g(2)=-6$, $h(2)=-3$, limits at $x=2$.

Studdy Solution
Now we can calculate the value of the limit.
$$\lim{x \rightarrow2}(h(x)(5 f(x)+g(x))) =2 \cdot (20 -) =2 \cdot14 =28$$So, the limit of the function $h(x)(5f(x)+g(x))$ as $x$ approaches2 is28.
The answer is (C)28.