Larson_Calculus_10e ch09sec08
MULTIPLE CHOICE
1. State where the power series is centered.
a.
0
b.
–3
c.
2
d.
3
e.
–2
2. Find the radius of convergence of the power series.
a.
b.
c.
5
d.
e.
25
3. Find the radius of convergence of the power series.
a.
b.
16
c.
64
d.
0
e.
8
4. Find the interval of convergence of the power series. (Be sure to include a check for convergence at
the endpoints of the interval.)
a.
b.
c.
d.
e.
5. Find the interval of convergence of the power series. (Be sure to include a check for convergence at
the endpoints of the interval.)
a.
b.
c.
d.
e.
6. Find the interval of convergence of the power series. (Be sure to include a check for convergence at
the endpoints of the interval.)
a.
b.
c.
d.
e.
7. Find the interval of convergence of the power series. (Be sure to include a check for convergence at
the endpoints of the interval.)
a.
b.
c.
d.
e.
8. Find the interval of convergence of the power series . (Be sure to include a check for
convergence at the endpoints of the interval.)
a.
b.
c.
d.
e.
9. Find the interval of convergence of the power series . (Be sure to include a check for
convergence at the endpoints of the interval.)
a.
b.
c.
d.
e.
10. Write an equivalent series of the series with the index of summation beginning at .
a.
b.
c.
d.
e.
11. Write an equivalent series of the series with the index of summation beginning at
.
a.
b.
c.
d.
e.
12. Consider the function given by . Find the interval of convergence for .
a.
b.
c.
d.
e.
13. Consider the function given by . Find the interval of convergence for .
a.
b.
c.
d.
e.
14. Consider the function given by . Find the interval of convergence for
.
a.
b.
c.
d.
e.
15. Consider the function given by . Find the interval of convergence for
.
a.
b.
c.
d.
e.
16. Identify the graph of the first 10 terms of the sequence of partial sum of the series for
.
a.
d.
b.
e.
c.
17. Find the differential equation having the solution .
a.
b.
c.
d.
e.