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