1. What does
( 2 )
n
sin ( + )sin
2 2
2
lim
equal?
n 0
(A) 0
(B) 1
(C)
2
(D) 2 2
(E) The limit does not exist
Soln: Using L'Hospital's Rule, you can calculate this limit.
( 2 )
n
sin ( + )sin
2 2
n
n
cos( + )
2 2
2
lim
.
n 0
The correct answer is A
2. Oil is withdrawn from a large tank into a small container at the rate of
for 0 t 4 , where t is measured in hours, and
At t=0 , the container is empty, and at
W ( t ) =720t 218 t 3
W (t ) is measured in gallons per hour.
t=4 , sufficient oil has been d