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Stewart_Calc_7ET ch02sec05
MULTIPLE CHOICE
1. Choose an equation from the following that expresses the fact that a function f is
continuous at the number .
a.
b.
c.
d.
e.
2. Determine where f is discontinuous.
a.
b.
0 only
c.
only
d.
only
e.
3. Use continuity to evaluate the limit.
a.
b.
c.
d.
0
e.
1
4. If f and g are continuous functions with
a.
b.
c.
d.
e.
5. Which of the given functions is discontinuous?
a.
b.
6. How would you define in order to make f continuous at ?
a.
b.
c.
d.
e.
None of these
7. For what value of the constant c is the function f continuous on
a.
b.
c.
d.
e.
NUMERIC RESPONSE
1. For determine whether f is continuous from the right, from the left, or neither.
2. Find the point at which the given function is discontinuous.
3. How would you define in order to make f continuous at ?
4. If f and g are continuous functions with
5. Write an equation that expresses the fact that a function f is continuous at the number .
6. Find a function g that agrees with f for and is continuous on .
7. Determine where f is discontinuous.
