Stewart_Calc_7ET ch02sec03
MULTIPLE CHOICE
1. Find the limit.
a.
b.
c.
d.
e.
does not exist
2. Evaluate the limit.
a.
b.
c.
d.
e.
3. If for all x, find .
a.
b.
c.
d.
e.
does not exist
4. Find the limit .
a.
–1
b.
–12
c.
6
d.
12
5. Find the limit .
a.
b.
c.
d.
1
6. Find the limit , if it exists.
a.
3
b.
5
c.
2
d.
Does not exist
7. Find the limit , if it exists.
a.
Does not exist
b.
c.
d.
8. Find the limit by evaluating the derivative of a suitable function at an appropriate value of x.
(Hint: Use the definition of the derivative.)
a.
25
b.
75
c.
d.
9. Evaluate .
a.
0
b.
–2
c.
2
d.
Undefined
10. If find
a.
b.
c.
0
d.
e.
11. Find the limit.
a.
b.
c.
0
d.
e.
12. Is there a number a such that
exists? If so, find the value of a and the value of the limit.
a.
, limit equals
b.
, limit equals
c.
, limit equals
d.
, limit equals
e.
, limit equals
13. Evaluate the limit, if it exists.
a.
b.
c.
d.
1
e.
does not exist
14. If , then if exists, find the value where it exists.
a.
b.
1
c.
d.
e.
15. Find the limit.
a.
b.
c.
d.
e.
NUMERIC RESPONSE
1. If for all x find the limit.
2. Evaluate the limit.
3. Find the limit.
4. Evaluate the limit.
5. Evaluate the limit.
6. Find the limit.
7. Evaluate the limit.
SHORT ANSWER
1. Find the limit .
2. Find the limit , if it exists.
3. Write the expression as a derivative of a function of x.