Answer
a)-10;
b)-20;
c)-1;
d)$\dfrac{5}{7}$
Work Step by Step
a) $\lim\limits_{x \to c}f(x)g(x) = (5)(-2) = -10$
b) $ \lim\limits_{x \to c}2[f(x)g(x)]= (2)(5)(-2) = -20$
c) $ \lim\limits_{x \to c}(f(x)+3g(x))= [5 +3(-2)] =5-6= -1$
d) $ \lim\limits_{x \to c}\dfrac{f(x)}{f(x)-g(x)} = \dfrac{5}{(5-(-2))} =\dfrac{5}{7}$
