The cost C (in millions of dollars)for the federal government to seize p% of a type of illegal drug as it enters the country is modeled by ,for Find the limit of C as
A) 540
B) 100
C) -100
D) ∞
E) 0

Question

​The cost C (in millions of dollars)for the federal government to seize p% of a type of illegal drug as it enters the country is modeled by  ,for  Find the limit of C as  ​
A) ​540 
B) ​100 
C) ​-100 
D) ​∞ 
E) ​0

Quizplus · Accepted Answer

The given limit is:

lim_(p→0) 100p^3/(p^5+1)

Upon simplification, we get:

lim_(p→0) 0 = 0

Since the numerator tends to 0 faster than the denominator as p approaches 0, the limit is 0.

Therefore, the limit of C as p approaches 0 is infinity (∞), since the denominator of the expression in C approaches 0 as p approaches 0.

​The Cost C (In Millions of Dollars)for the Federal Government

The Cost C (In Millions of Dollars)for the Federal Government