Chapter 3.1, Problem 52E

Funding for NASA up to 1966 (Compare Exercise 51.) The percentage of the U.S. federal budget allocated to NASA from 1958 to 1966 can also be modeled by

$p\left(t\right)=\frac{4.5}{{1.07}^{{\left(t-8\right)}^2}}\text{ percentage points}$

(t is time in years since 1958).

a. Numerically estimate $\underset{x\to +\infty }{\lim }p\left(t\right),$ andinterpret the answer. [HINT: See Example 6.]

b. How does your answer to part (a) compare with actual current funding for NASA?