Question

The cost of fighting crime in a country increased significantly during the period 1982–1999. total spending on police and courts can be approximated by

P(t) = 1.743t + 29.84 billion dollars (2 ≤ t ≤ 19)
C(t) = 1.096t + 10.65 billion dollars (2 ≤ t ≤ 19)
J(t) = 1.917t + 12.36 billion dollars (2 ≤ t ≤ 19)
where t is time in years since 1980.Compute lim t→+[infinity]

Answer 1

To compute the limit as t approaches positive infinity for the given expressions, consider the term with the highest degree of t, which is 1.917t in the expression J(t). As t approaches positive infinity, this term will dominate the other terms, and the limit will be infinity.

Step-by-step explanation:

The student is asking to compute the limit as t approaches positive infinity for the given expressions: P(t) = 1.743t + 29.84 billion dollars, C(t) = 1.096t + 10.65 billion dollars, and J(t) = 1.917t + 12.36 billion dollars.

To compute this limit, we need to consider the term with the highest degree of t, which is 1.917t in the expression J(t). As t approaches positive infinity, this term will dominate the other terms, and the limit will be infinity.