Larson_Calculus_10e ch09sec09
MULTIPLE CHOICE
1. Find a geometric power series for the function centered at 0.
a.
b.
c.
d.
e.
2. Find a geometric power series for the function centered at 0.
a.
b.
c.
d.
e.
3. Find a geometric power series for the function centered at 0, (i) by the technique shown in Examples 1
and 2 and (ii) by long division.
a.
b.
c.
d.
e.
4. Find a power series for the function centered at 1.
a.
b.
c.
d.
e.
5. Find a power series for the function centered at 0.
a.
b.
c.
d.
e.
6. Find a power series for the function centered at 0.
a.
b.
c.
d.
e.
7. Find a power series for the function centered at 0.
a.
b.
c.
d.
e.
8. Find a power series for the function centered at 0.
a.
b.
c.
d.
e.
9. Use the power series to determine a power series centered at 0 for the function
.
a.
b.
c.
d.
e.
10. Identify the interval of convergence of a power series .
a.
b.
c.
d.
e.
11. Use the power series to determine a power series centered at 0 for the function
.
.
a.
b.
c.
d.
e.
12. Identify the interval of convergence of a power series .
a.
b.
c.
d.
e.
13. Use the series for to approximate the value of using
. Round your answer to three decimal places.
a.
0.125
b.
0.111
c.
0.143
d.
0.100
e.
0.133
14. Use the power series to determine a power series for the function
.
a.
b.
c.
d.
e.
15. Identify the interval of convergence of a power series .
a.
b.
c.
d.
e.
16. Explain how to use the geometric series to find the series for the
function .
a.
replace x with
b.
replace x with and multiply the series by
c.
replace x with and divide the series by 9
d.
replace x with and divide the series by 9
e.
replace x with
17. Find the sum of the convergent series by using a well-known function. Round
your answer to four decimal places.
a.
0.1671
b.
0.7802
c.
2.4061
d.
0.0870
e.
2.3979
18. Find the sum of the convergent series by using a well-known function.
Round your answer to four decimal places.
a.
0.1419
b.
0.2450
c.
0.8961
d.
0.1651
e.
0.1974