Answer
$a) 4.$
$b) 64.$
$c)64.$
Work Step by Step
a) By Theorem $1.3: $ $\lim\limits_{x\to c} p(x)=p(c)$
$\lim\limits_{x\to1}(5-x)=5-1=4.$
b)By Theorem $1.3: $ $\lim\limits_{x\to c} p(x)=p(c)$
$\lim\limits_{x\to4}x^3=4^3=64.$
c)By Theorem $1.5: \lim\limits_{x\to c}(f(g(x)))=f(\lim\limits_{x\to c}g(x)).$
$\lim\limits_{x\to1}g(f(x))=g(\lim\limits_{x\to1}f(x))=g(4)=64.$
