Answer
a. See the table, $2.828426562$
b. See the graph, $2.83$
c. $2\sqrt 2$
Work Step by Step
a. From the table above, $\lim\limits_{x \to \sqrt 2}g(x)\approx 2.828426562$
b. From the graph above, $\lim\limits_{x \to \sqrt 2}g(x)\approx 2.83$
c. $\lim\limits_{x \to \sqrt 2}\frac{x^2-2}{x-\sqrt 2}=\lim\limits_{x \to \sqrt 2}(x+\sqrt 2)=2\sqrt 2$
