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Stewart_Calc_7ET ch11sec05
MULTIPLE CHOICE
1. Determine the number of terms sufficient to obtain the sum of the series accurate to three
decimal places.
a.
19
b.
22
c.
20
d.
21
2. How many terms of the series do we need to add in order to find the sum to the indicated
accuracy?
a.
b.
c.
d.
e.
3. Test the series for convergence or divergence.
a.
The series is convergent.
b.
The series is divergent.
4. Find an approximation of the sum of the series accurate to two decimal places.
a.
–0.95
b.
–1.02
c.
–0.87
d.
–1.09
5. Determine which series is convergent.
a.
b.
6. Approximate the sum to the indicated accuracy.
(five decimal places)
a.
b.
c.
d.
e.
MULTIPLE RESPONSE
1. Which of the partial sums of the alternating series are overestimates of the
total sum?
a.
b.
c.
d.
e.
NUMERIC RESPONSE
1. Use the Alternating Series Estimation Theorem or Taylor's Inequality to estimate the range
of values of x for which the given approximation is accurate to within the stated error.
Write a such that .
2. Test the series for convergence or divergence.
3. Test the series for convergence or divergence.
4. Approximate the sum to the indicated accuracy.
5. Approximate the sum to the indicated accuracy.
6. Test the series for convergence or divergence.
