Stewart_Calc_7ET ch04sec04
MULTIPLE CHOICE
1. Find the limit.
a.
0
b.
c.
d.
e.
1
2. Let P (x) and Q (x) be polynomials. Find
if the degree of P (x) is 3 and the degree of Q (x) is 7.
a.
– 4
b.
5
c.
9
d.
0
e.
4
3. Find the limit.
a.
b.
c.
d.
4. Find the limit.
a.
b.
c.
d.
5. Find the limit.
a.
b.
c.
0
d.
6. A skydiver leaps from a helicopter hovering high above the ground. Her velocity t sec later
and before deploying her parachute is given by
where is measured in meters per second. What is her terminal velocity? Hint:
Evaluate
a.
54 m/sec
b.
7 m/sec
c.
47 m/sec
d.
87 m/sec
7. Evaluate the limit using l’Hôpital’s Rule.
a.
25
b.
c.
75
d.
15
8. Evaluate the limit using l’Hôpital’s Rule.
a.
3
b.
c.
d.
0
9. Evaluate the limit using l’Hôpital’s Rule.
0
3
8
1
4
a.
b.
1
c.
e
d.
0
10. Evaluate the limit using l’Hôpital’s Rule.
a.
–7
b.
–98
c.
–49
d.
7
11. Evaluate the limit.
a.
1
b.
–5
c.
5
d.
0
12. Evaluate the limit.
a.
–2
b.
c.
0
d.
2
1
13. Evaluate the limit using l’Hôpital’s Rule.
a.
2
b.
48
c.
–2
d.
14
14. Evaluate the limit using l’Hôpital’s Rule.
a.
b.
c.
d.
15. Evaluate the limit.
a.
b.
c.
d.
0
e.
2
−1
30
1
30
1
2
11
30
16. Find the limit.
a.
b.
c.
d.
0
e.
17. Evaluate the limit.
a.
0
b.
c.
–5
d.
1
e.
18. Find the value of the limit.
a.
b.
c.
d.
e.
NUMERIC RESPONSE
1. Find the value of the limit.
2. For the function f whose graph is given, find the limit.
3. Use l’Hospital’s Rule to calculate the exact value of the limit as .
and
4. Find the limit.
5. Find the limit.
SHORT ANSWER
1. Use the graph of f to find the given limits.
(a)
(b)
2. Find the limit.
3. A city’s population (in thousands) t years from now is estimated by
What will the population of the city be in the long run? Hint: Find
1 2 3 4 5 6 7–1–2–3–4–5–6–7 x
1
2
3
4
5
6
7
–1
–2
–3
–4
–5
–6
–7
y