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Stewart_Calc_7ET ch11sec03
MULTIPLE CHOICE
1. Find all positive values of u for which the series converges.
a.
b.
c.
d.
e.
2. Find an approximation of the sum of the series accurate to two decimal places.
a.
–0.83
b.
–0.90
c.
–0.96
d.
–1.02
3. Determine which one of the p-series below is convergent.
a.
b.
c.
d.
4. Determine which one of the p-series below is divergent.
a.
b.
c.
d.
5. Find the values of p for which the series is convergent.
a.
b.
c.
d.
6. Find all values of p for which the series converges.
a.
b.
c.
d.
7. Determine the number of terms sufficient to obtain the sum of the series accurate to three
decimal places.
a.
16
b.
19
c.
18
d.
17
NUMERIC RESPONSE
1. Use the Integral Test to determine whether the series is convergent or divergent.
2. Determine whether the series is convergent or divergent.
3. Find the values of p for which the series is convergent.
4. How many terms of the series would you need to add to find its sum to
within 0.02?
5. Test the series for convergence or divergence.
6. Determine whether the sequence convergent or divergent.
7. Use the sum of the first 10 terms to approximate the sum of the series. Estimate the error.
SHORT ANSWER
1. Use the Integral Test to determine whether the series is convergent or divergent.
2. Determine whether the given series is convergent or divergent.
3. Determine whether the given series is convergent or divergent.
4. Determine whether the series is convergent or divergent.
5. Determine whether the series is convergent or divergent.
6. Determine whether the series is convergent or divergent.
7. Use the Integral Test to determine whether the series is convergent or divergent.
8. Determine whether the series is convergent or divergent.
9. Use the Integral Test to determine whether the series is convergent or divergent.
10. Determine whether the given series is convergent or divergent.
11. Determine whether the given series is convergent or divergent.
12. Determine whether the series is convergent or divergent.
13. Use the Integral Test to determine whether the series is convergent or divergent.
14. Determine whether the series converges or diverges.
15. Determine whether the series is convergent or divergent.
