Answer
a) 64
b) 2
c) 12
d) 8
Work Step by Step
a) $\lim\limits_{x \to c} [f(x)]^3 = [\lim\limits_{x \to c} f(x)]^3 = (4)^3 = 64 $
b) $\lim\limits_{x \to c}\ \sqrt {f(x)} = \sqrt {\lim\limits_{x \to c}f(x)} = \sqrt 4 = 2$
c) $\lim\limits_{x \to c} [3f(x)]= 3\lim\limits_{x \to c} f(x) = 3(4) = 12 $
d) $\lim\limits_{x \to c} [f(x)]^{3/2} = [\lim\limits_{x \to c} f(x)]^{3/2} = (4)^{3/2} = 8$
