Answer
a) $4$
b) $-21$
c) $-12$
d) $-\dfrac{7}{3}$
Work Step by Step
a) $\lim\limits_{x \to b}(f(x)+g(x)) = (7-3) =7-3= 4$
b) $\lim\limits_{x \to b} [f(x).g(x)] = (7)(-3) =-21$
c) $\lim\limits_{x \to b}4g(x) =(4)(-3) =-12$
d) $\lim\limits_{x \to b}\dfrac{f(x)}{g(x)} = -(\dfrac{7}{3})$