Answer
80
Work Step by Step
Graph:
As x appoarches 2, f(x) approaches 80
Table:
f(x) is getting close to 80 as it get closer to x = 2
Analytic methods:
$\lim\limits_{x \to 2}$ $\frac{x^{5-32} }{x-2}$
$\lim\limits_{x \to 2}$ $\frac{(x-2)(x^{4}+2x^{3}+4x^{2} +8x+16)}{x-2}$
$\lim\limits_{x \to 2}$ $x^{4}$+$2x^{3}$+$4x^{2}$+8x+16
$\lim\limits_{x \to 2}$ $(2)^{4}$+$2(2)^{3}$+$4(2)^{2}$+8(2)+16
$\lim\limits_{x \to 2}$ = 80
