Chapter 4.4, Problem 88E

(a)

To determine

To calculate: Horizontal asymptote of the curve, $g\left(x\right)=4-\frac{4}{t^2}$.

(b)

To determine

To calculate: A as a function of x by integrating, $A\left(x\right)={\displaystyle {\int }_1^{x}4-\frac{4}{t^2}dt}$ and to check for its horizontal asymptote.