Chapter 2.3, Problem 61E

Purchasing power. The purchasing power of the U.S. dollar t years after 1990 can be modeled by the function

$P\left(x\right)=\frac{1}{1+0.0362x}$.

(Source: Based on data from the Consumer Price Index.)

a. Find $P\left(5\right),P\left(10\right),\text{ and }P\left(25\right)$.

b. When was the purchasing power $0.50?

c. Find $\underset{x\to \infty }{\lim }P\left(x\right)$.